What is the missing exponent in the following equation?

h^450/ h? = h^215 (1 point)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

The missing exponent is 449.

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1 year ago

Simplify 12^87 ÷ 12^25. (1 point)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To simplify the expression 12^87 ÷ 12^25, we can subtract the exponents.

12^87 ÷ 12^25 = 12^(87-25) = 12^62

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1 year ago

What is the value of 6.9 - 20? (1 point)

4.9

6.9

7.9

5.9

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

The value of 6.9 - 20 is -13.1.

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1 year ago

Apply the Zero Power Rule to create an equivalent expression to 9. (−33)^0 + 3/2 (8 − 27^0). (2 points)

9. (-33)^0+ 3/2 (8-27^0) =???·??? + 3/2 (???-???)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

When applied to any non-zero base, the zero power rule states that any nonzero number raised to the power of zero is equal to 1. Therefore, (-33)^0 simplifies to 1.

Using this information, the expression becomes:

1 + 3/2 (8 - 1)

Simplifying further:

1 + 3/2 (7)

Multiplying:

1 + 21/2

Combining:

2/2 + 21/2 = 23/2

Therefore, the equivalent expression to 9. (-33)^0+ 3/2 (8-27^0) is 23/2.

User Icon for Stranger danger Stranger danger answered
1 year ago

9. (-33)^0+ 3/2 (8-27^0) = blnack · blanck + 3/2 (blanck - blanck)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

Apologies for the confusion in my previous response. Let's simplify the expression correctly.

According to the zero power rule, any non-zero number raised to the power of zero is equal to 1. So, (-33)^0 simplifies to 1.

Now, we can rewrite the expression:

1 + 3/2 (8 - 1)

Simplifying inside the parentheses:

1 + 3/2 (7)

Multiplying:

1 + 21/2

Adding:

2/2 + 21/2 = 23/2

Therefore, the simplified expression is:

9. (-33)^0 + 3/2 (8 - 27^0) = 23/2.

User Icon for Stranger danger Stranger danger answered
1 year ago

i need the whole equation

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

Apologies for the confusion. Here is the whole equation:

9. (-33)^0 + 3/2 (8 - 27^0) = 1 + 3/2 (8 - 1) = 1 + 3/2 (7) = 1 + 21/2 = 2/2 + 21/2 = 23/2.

User Icon for Stranger danger Stranger danger answered
1 year ago

I eed you to apply yhe power of zero to this equation 9. (-33)^0+ 3/2 (8-27^0)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

Apologies for the confusion in my previous responses. Let's apply the power of zero correctly.

According to the zero power rule, any non-zero number raised to the power of zero is equal to 1. So, (-33)^0 simplifies to 1.

Now, we can rewrite the equation:

9. (-33)^0 + 3/2 (8 - 27^0) = 9(1) + 3/2 (8 - 1)

Simplifying the expression further:

= 9 + 3/2 (7)
= 9 + 21/2

Adding:

= 18/2 + 21/2
= 39/2

Therefore, the simplified expression is:

9. (-33)^0 + 3/2 (8 - 27^0) = 39/2.

User Icon for Stranger danger Stranger danger answered
1 year ago

Solve the expression 15.8^0 5 +4 (7^0 – 6). (1 point)

15.8^0/5 + 4 (7^0 − 6) = ?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To solve the expression 15.8^0/5 + 4 (7^0 − 6), we need to follow the order of operations (parentheses, exponents, multiplication/division from left to right, and addition/subtraction from left to right).

First, we solve the exponent 15.8^0, which is equal to 1, as any number raised to the power of 0 is 1.

Next, we simplify the expression within parentheses, which is 7^0 - 6. Again, any number raised to the power of 0 is 1, so 7^0 is equal to 1. Thus, the expression becomes 1 - 6, which equals -5.

Now, we can substitute the simplified values into the original expression:

15.8^0/5 + 4(-5)

Since 15.8^0 is equal to 1, the expression becomes:

1/5 + 4(-5)

Now, we solve the multiplications:

1/5 - 20

To combine fractions, the denominators must be the same. We can rewrite 20 as 20/1:

1/5 - 20/1

To subtract fractions, we need the same denominator. To make the denominators the same, we multiply 1/5 by 1/1:

1/5 * 1/1 - 20/1

Now we have the same denominator:

1/5 - 20/1

To subtract these fractions, we need the same denominator. We can convert 1 to have the same denominator as 5:

1 = 5/5

5/5/5 - 20/1

1/5 - 20/1

Now, we have the same denominators and can subtract directly:

1/5 - 20/1 = -99/5

Therefore, the solution to the expression 15.8^0/5 + 4(7^0 − 6) is -99/5.

User Icon for Stranger danger Stranger danger answered
1 year ago

Use the Power Rule of Exponents to simplify (10^3)^6. (1 point)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

The Power Rule of Exponents states that when raising an exponent to another power, you multiply the exponents.

In this case, we have (10^3)^6. To simplify, we multiply the exponents:

(10^3)^6 = 10^(3*6) = 10^18

Therefore, (10^3)^6 is equal to 10^18.

User Icon for Stranger danger Stranger danger answered
1 year ago

If the expression 715 was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?

(7.7.7). (7.7 · 7) · (7 · 7 · 7) · (7 · 7 · 7) · (7 · 7 · 7)

(7-7-7-7-7)^10

(7^18)^ 3

(7^10)^ 5

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

If the expression 715 was simplified using the Power Rule of Exponents, the expanded equivalent expression would be:

(7 · 7 · 7) · (7 · 7) · (7 · 7 · 7) · (7 · 7 · 7) · (7 · 7 · 7)

Therefore, the correct option is:

(7.7.7). (7.7 · 7) · (7 · 7 · 7) · (7 · 7 · 7) · (7 · 7 · 7)

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1 year ago

Use the Power Rule of Exponents to create a simplified equivalent expression for (19^4)^9. (1 point)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To create a simplified equivalent expression for (19^4)^9 using the Power Rule of Exponents, we need to multiply the exponents.

(19^4)^9 = 19^(4*9) = 19^36

Therefore, the simplified equivalent expression for (19^4)^9 is 19^36.

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1 year ago

Apply the Property of Negative Integer Exponents to solve 7^-3. The answer should not contain any exponent expression or decimals. (1 point)

7^-3 = ?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

The Property of Negative Integer Exponents states that when a base is raised to a negative exponent, it is equal to the reciprocal of the base raised to the positive exponent.

Therefore, for 7^-3, we have:

7^-3 = 1/(7^3)

To further simplify, we can calculate 7^3, which is equal to 343.

So, the final answer is:

7^-3 = 1/343

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1 year ago

Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3^-17/8^-14 with positive exponents only. (1 point)

3^-17/8^-14 = ?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To apply the Property of Negative Integer Exponents, we can rewrite 3^-17/8^-14 with positive exponents.

The Property of Negative Integer Exponents states that when a term with a negative exponent is moved to the denominator, the exponent becomes positive. Similarly, when a term with a negative exponent is moved to the numerator, the exponent becomes positive.

So, we can rewrite our given expression as:

3^-17/8^-14 = 8^14/3^17

Therefore, the expression equivalent to 3^-17/8^-14 with positive exponents only is 8^14/3^17.

User Icon for Stranger danger Stranger danger answered
1 year ago

Apply the Properties of Integer Exponents to generate equivalent expressions to (7^-3)^7.7^20/6^-2 with only positive exponents, then solve the expression. Provide the answer as an improper fraction.

(7^-3)^7.7^20/6^-2 = ?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To apply the Properties of Integer Exponents, we need to simplify (7^-3)^7.7^20/6^-2 using positive exponents.

First, let's simplify the exponent expression:

(7^-3)^7.7^20/6^-2

Applying the Property of Negative Integer Exponents to (7^-3)^7, we have:

(7^-3)^7 = 7^(-3*7) = 7^-21

Next, applying the Property of Negative Integer Exponents to 6^-2, we get:

6^-2 = 1/6^2 = 1/36

Now, we can substitute the simplified expressions into the original expression:

(7^-3)^7.7^20/6^-2 = 7^-21 * 7^20 / 1/36

To simplify further, we can combine the terms with the same base:

7^-21 * 7^20 = 7^(20-21) = 7^-1 = 1/7^1 = 1/7

Therefore, the expression simplifies to:

1/7 / 1/36 = 1/7 * 36/1 = 36/7

The answer, as an improper fraction, is 36/7.

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1 year ago

Simplify the expression (4x^3)^2 using the properties of integer exponents. (1 point)

8x^6

16x^5

16x^6

4x^6

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To simplify the expression (4x^3)^2 using the properties of integer exponents, we multiply the exponent of 4x^3 by 2.

(4x^3)^2 = 4^2 * (x^3)^2 = 16 * x^(3*2) = 16 * x^6.

Therefore, the simplified expression is 16x^6.

User Icon for Stranger danger Stranger danger answered
1 year ago

Apply the properties of integer exponents to generate an equivalent algebraic expression to (4x^4y^−4)^3 (x^7y^3)^2 (1 point)

64 /x^2y^18

x^2y^18/ 64

64/ x^20

4/x^2y^18

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To generate an equivalent algebraic expression to (4x^4y^−4)^3 (x^7y^3)^2 using the properties of integer exponents, we need to simplify each term separately and then multiply them together.

Let's start with (4x^4y^−4)^3:
(4x^4y^−4)^3 = 4^3 * (x^4)^3 * (y^−4)^3 = 64 * x^(4*3) * y^(−4*3) = 64 * x^12 * y^(−12)

Next, let's simplify (x^7y^3)^2:
(x^7y^3)^2 = (x^7)^2 * (y^3)^2 = x^(7*2) * y^(3*2) = x^14 * y^6

Now, we multiply the two simplified terms together:
(64 * x^12 * y^(−12)) * (x^14 * y^6) = 64 * x^12 * x^14 * y^(−12) * y^6 = 64 * x^(12+14) * y^(−12+6) = 64 * x^26 * y^(−6)

Therefore, an equivalent algebraic expression to (4x^4y^−4)^3 (x^7y^3)^2 is 64 * x^26 * y^(−6).

User Icon for Stranger danger Stranger danger answered
1 year ago

Whats the answer?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

The answer is 64 * x^26 * y^(-6).

User Icon for Stranger danger Stranger danger answered
1 year ago

These are the choices

64 /x^2y^18

x^2y^18/ 64

64/ x^20

4/x^2y^18

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

Apologies for the confusion. Among the given choices, the answer is:

64 / x^2y^18.

User Icon for Stranger danger Stranger danger answered
1 year ago

Apply the product rule of integer exponents to find the numerical equivalent of 12-5. 127. Show your work and explain how you used the product rule of integer exponents. (2 points)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To find the numerical equivalent of 12^(-5) * 1^27, we can use the product rule of integer exponents, which states that the product of two numbers with the same base can be simplified by adding their exponents.

First, let's evaluate 12^(-5). According to the product rule of integer exponents, since the base is the same (12), we can add the exponents:

12^(-5) = 1/(12^5)

Now, let's simplify 1^27. According to the product rule of integer exponents, any number raised to the power of 1 is itself. Therefore, 1^27 is equal to 1.

Now, we can substitute the simplified expressions back into the original expression:

12^(-5) * 1^27 = 1/(12^5) * 1

Multiplying the fractions:

1 * 1 = 1

Therefore, the numerical equivalent of 12^(-5) * 1^27 is 1.