Asked by Gelo

Simplify x⁶⁷⁵/x⁴⁵³.

Answers

Answered by Gelo
What is the missing exponent in the following equation?
e^?/e⁶⁵ = e³⁸
Answered by Gelo
Simplify
13¹² ÷ 13-¹⁰
Answered by Gelo
Simplify
4¹³ ÷ 3-⁵
Answered by Gelo
Simplify 4¹³ ÷ 3^-5
Answered by Gelo
Wrong
Answered by Gelo
13¹²÷13-¹⁰
Simplify.
Answered by Gelo
4¹³÷3-⁵
Simplify
Answered by Gelo
Wrong
Answered by Gelo
Simplify 4¹³÷3-⁵
Using the quotient rule of exponents
Answered by GPT 3.5
To simplify the expression, we can apply the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.

In this case, since both terms have the base x, we can subtract the exponents:
x^(675-453) = x^222
Answered by GPT 3.5
To find the missing exponent, we can use the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.

In this case, since both terms have the base e, we can subtract the exponents:
e^(? - 65) = e^38

To solve for the missing exponent, we can set the exponents equal to each other:
? - 65 = 38

Adding 65 to both sides of the equation, we have:
? = 38 + 65

Simplifying, we find:
? = 103
Answered by GPT 3.5
To simplify this expression, we can use the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.

In this case, we have 13 raised to the 12th power divided by 13 raised to the negative 10th power. Using the quotient rule, we subtract the exponents:
13^(12 - (-10))

When we subtract a negative from a positive exponent, it becomes addition:
13^(12 + 10)

Simplifying the exponent, we have:
13^22

Therefore, 13^12 ÷ 13^-10 simplifies to 13^22.
Answered by GPT 3.5
To simplify this expression, we can apply the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.

In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))

When we subtract a negative from a positive exponent, it becomes addition:
4^(13 + 5)

Simplifying the exponent, we have:
4^18

So, 4^13 ÷ 3^-5 simplifies to 4^18.
Answered by GPT 3.5
To simplify the expression 4¹³ ÷ 3⁻⁵, we can use the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.

Therefore, we can rewrite the expression as:
4¹³ / 3⁻⁵

Now, let's simplify the exponents:
4¹³ / (1 / 3⁵)

Since a negative exponent indicates the reciprocal of the base raised to the positive exponent, we can rewrite 3⁻⁵ as 1 / 3⁵.

The expression becomes:
4¹³ / (1 / 3⁵)
4¹³ * 3⁵

Calculating the exponents, we get:
(4^13) * (3^5)

So, the expression 4¹³ ÷ 3⁻⁵ simplifies to (4^13) * (3^5).
Answered by GPT 3.5
Apologies for the mistake. Let's correct it.

To simplify 4¹³ ÷ 3⁻⁵, we use the quotient rule of exponents:

Recall that a negative exponent indicates the reciprocal of the base raised to the positive exponent. Therefore, we can rewrite 3⁻⁵ as 1 / 3⁵.

The expression becomes:
4¹³ / (1 / 3⁵)

To divide by a fraction, we multiply by its reciprocal:
4¹³ * (3⁵ / 1)

Simplifying the exponents, we have:
4¹³ * 3⁵

Now, calculate the exponents to get the final simplified form:
(4^13) * (3^5)

Therefore, 4¹³ ÷ 3⁻⁵ simplifies to (4^13) * (3^5).
Answered by GPT 3.5
To simplify the expression 13¹² ÷ 13⁻¹⁰, we can use the quotient rule of exponents:

Recall that when dividing two numbers with the same base, we subtract the exponents.

In this case, we have 13 raised to the 12th power divided by 13 raised to the negative 10th power. Using the quotient rule, we subtract the exponents:
13^(12 - (-10))

When we subtract a negative from a positive exponent, it becomes addition:
13^(12 + 10)

Simplifying the exponent, we have:
13^22

Therefore, 13¹² ÷ 13⁻¹⁰ simplifies to 13²².
Answered by GPT 3.5
To simplify the expression 4¹³ ÷ 3⁻⁵, we can use the quotient rule of exponents:

Recall that when dividing two numbers with the same base, we subtract the exponents.

In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))

To simplify the subtraction of exponents, we can rewrite it as addition:
4^(13 + 5)

Simplifying the exponent, we have:
4^18

Therefore, 4¹³ ÷ 3⁻⁵ simplifies to 4¹⁸.
Answered by GPT 3.5
Apologies for the mistake. Let's correct it.

To simplify the expression 4¹³ ÷ 3⁻⁵, we can use the quotient rule of exponents:

Recall that when dividing two numbers with the same base, we subtract the exponents.

In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))

Simplifying the subtraction of exponents:
4^(13 + 5)

Now, simplify the exponent:
4^18

Hence, 4¹³ ÷ 3⁻⁵ simplifies to 4¹⁸.
Answered by GPT 3.5
To simplify 4¹³÷3⁻⁵ using the quotient rule of exponents, we need to subtract the exponents.

Recall that when dividing two numbers with the same base, we subtract the exponents.

In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))

To simplify the subtraction of exponents, we rewrite it as addition:
4^(13 + 5)

Now, simplify the exponent:
4^18

Therefore, 4¹³÷3⁻⁵ simplifies to 4¹⁸.

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