Asked by glitchtrap

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

6.9
6.9

4.9
4.9

7.9
7.9

5.9
Answered by glitchtrap
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)0+32(8−270).(2 points)
9⋅(−33)0+32(8−270) =
⋅
+32(
–
)
Answered by glitchtrap
Solve the expression 15⋅805+4(70−6).(1 point)
15⋅805+4(70−6)=
Answered by glitchtrap
Use the Power Rule of Exponents to simplify (10^3)^6
Answered by glitchtrap
If the expression 715 was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?(1 point)
Responses

(7⋅7⋅7⋅7⋅7)10
left parenthesis 7 times 7 times 7 times 7 times 7 right parenthesis superscript 10 baseline

(718)3
left parenthesis 7 superscript 18 baseline right parenthesis cubed

(710)5
left parenthesis 7 superscript 10 baseline right parenthesis superscript 5 baseline

(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)
Answered by glitchtrap
Use the Power Rule of Exponents to create a simplified equivalent expression for (19^4)^9
Answered by glitchtrap
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 =
Answered by glitchtrap
Question
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3−178−14 with positive exponents only.(1 point)
3^−17/8^−14 =
Answered by glitchtrap
Apply the Properties of Integer Exponents to generate equivalent expressions to (7−3)7 ⋅ 7206−2 with only positive exponents, then solve the expression. Provide the answer as an improper fraction.(1 point)
(7^−3)^7 ⋅ 72^0/6^−2 =
Answered by glitchtrap
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.
Answered by GPT 3.5
The value of 6.9 - 20 is -13.1. However, none of the given options match this value.
Answered by GPT 3.5
Applying the Zero Power Rule, any number raised to the power of zero is equal to 1. Therefore, the equivalent expression to 9⋅(−33)^0+32(8−270) is:

9⋅1 + 32(8−270).
Answered by GPT 3.5
To solve the expression 15⋅805+4(70−6), we need to first evaluate the expression within parentheses:

70 - 6 = 64

Next, we can substitute this result back into the original expression:

15⋅805 + 4(64)

Now, we can perform the multiplication:

15⋅805 = 12,075

4(64) = 256

And finally, we can add the two results together:

12,075 + 256 = 12,331

Therefore, the solution is 12,331.
Answered by GPT 3.5
To simplify (10^3)^6 using the Power Rule of Exponents, we multiply the exponents:

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

3*6 = 18

Therefore, (10^3)^6 simplifies to 10^18.
Answered by GPT 3.5
If the expression 715 was simplified using the Power Rule of Exponents, an expanded equivalent expression would be (7⋅7⋅7⋅7⋅7)10.
Answered by GPT 3.5
Using the Power Rule of Exponents, we multiply the exponents:

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

4*9 = 36

Therefore, (19^4)^9 simplifies to 19^36.
Answered by GPT 3.5
Applying the Property of Negative Integer Exponents states that a negative exponent can be rewritten as the reciprocal of the corresponding positive exponent:

7^−3 = 1/(7^3)

Therefore, 7^−3 can be expressed as 1 divided by 7^3.
Answered by GPT 3.5
To apply the Property of Negative Integer Exponents, we can rewrite 3^(-17) as the reciprocal of 3^(17), and 8^(-14) as the reciprocal of 8^(14):

3^(-17)/8^(-14) = 1/(3^17) * 1/(8^14)

Therefore, the equivalent expression with positive exponents only is 1/(3^17 * 8^14).
Answered by GPT 3.5
To apply the Properties of Integer Exponents, we'll simplify each term:

(7^(-3))^7 can be simplified as (7^(-3*7)) = 7^(-21)

72^0 remains the same, as any number raised to the power of 0 is equal to 1.

6^(-2) can be rewritten as 1/(6^2) = 1/36

So, the expression (7^(-3))^7 ⋅ 72^0/6^(-2) becomes 7^(-21) ⋅ 1/1/(36).
Now, let's simplify further:

7^(-21) can be rewritten as 1/(7^21)

Multiplying two fractions is the same as multiplying the numerators and multiplying the denominators:

(1/(7^21)) * (1/1/36) = 1/(7^21 * 1/36)

Therefore, the simplified expression is 1/(7^21 * 1/36).

To solve the expression, we can evaluate the denominator:

1/(7^21 * 1/36) = 1/(1/(7^21 * 36))

Since 1 divided by a fraction is the same as multiplying by its reciprocal:

1 * (7^21 * 36) / 1

Simplifying:

7^21 * 36

Now we can calculate the actual value of the expression:

7^21 = 211876037^2 = 4489477432554110718168240992
36 = 36

Therefore, the simplified expression is 4489477432554110718168240992/36, which as an improper fraction is:
124707095348725853282451138
36
Answered by GPT 3.5
To find the numerical equivalent of 12^(-5) * 127, we can use the product rule of integer exponents, which states that when multiplying exponential expressions with the same base, we can add their exponents.

First, let's calculate 12^(-5):
12^(-5) = 1/(12^5) = 1/248832 = 0.00000403 (rounded to five decimal places)

Now, let's multiply this result by 127:
0.00000403 * 127 = 0.00051281 (rounded to five decimal places)

Therefore, the numerical equivalent of 12^(-5) * 127 is approximately 0.00051281.