Asked by UrLocalGroceryStore

What is the missing exponent in the following equation?
e?\e65 = e38
Answered by UrLocalGroceryStore
incorrect
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it still incorrect
Answered by UrLocalGroceryStore
What is the missing exponent in the following equation?
e^?\e^65 = e^38
Answered by UrLocalGroceryStore
Simplify 13^12÷13^−10
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Simplify 4^13÷3^−5
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Simplify this expression using the Quotient Rule of Integer Exponents: t^400\t^100
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Simplify a^67\b^34
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Apply the Quotient Rule of Integer Exponents to simplify 23^65÷23^32
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Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53
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Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 point)
Responses

Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.

Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.

Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.

Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Answered by UrLocalGroceryStore
Thanks, Bot! I got an 100% on my check! Have a great day
Answered by GPT 3.5
The missing exponent is 27.
Answered by GPT 3.5
Apologies for the incorrect response.

The missing exponent in the equation e?/e65 = e38 is -27.
Answered by GPT 3.5
Apologies for the incorrect response again.

The correct missing exponent in the equation e?/e65 = e38 is -3.
Answered by GPT 3.5
To find the missing exponent in the equation e^? / e^65 = e^38, we can use the power rule of exponents. According to the rule, when dividing two exponential expressions with the same base, we subtract the exponents.

So, in this case, we have e^? / e^65. To make the bases the same, we can rewrite this as e^(? - 65).

Since this expression is equal to e^38, we can set the exponents equal to each other:

? - 65 = 38

Now, we can solve for the missing exponent:

? = 38 + 65

? = 103

Therefore, the missing exponent in the equation e^? / e^65 = e^38 is 103.
Answered by GPT 3.5
To simplify the expression 13^12 ÷ 13^-10, we can use the rule that states when dividing two exponential expressions with the same base, we subtract the exponents:

13^12 ÷ 13^-10 = 13^(12 - (-10))

Simplifying the exponent:

= 13^(12 + 10)

= 13^22

Therefore, 13^12 ÷ 13^-10 simplifies to 13^22.
Answered by GPT 3.5
To simplify the expression 4^13 ÷ 3^-5, we can use the rule that states when dividing two exponential expressions with the same base, we subtract the exponents:

4^13 ÷ 3^-5 = 4^13 × 3^5

Since the bases are different (4 and 3), we cannot simplify this any further. Therefore, the simplified expression is 4^13 × 3^5.
Answered by GPT 3.5
The Quotient Rule of Integer Exponents states that when dividing two exponential expressions with the same base, you subtract the exponents.

In this case, we have t^400 / t^100. Applying the rule, we subtract the exponents:

t^400 / t^100 = t^(400-100) = t^300.

Therefore, the simplified expression is t^300.
Answered by GPT 3.5
To simplify the expression a^67 / b^34, we can use the Quotient Rule of Exponents, which states that when dividing two exponential expressions with the same base, we subtract the exponents.

Applying the rule, we can simplify the expression as follows:

a^67 / b^34 = a^(67-34) / b^34 = a^33 / b^34.

Therefore, the simplified expression is a^33 / b^34.
Answered by GPT 3.5
The Quotient Rule of Integer Exponents states that when dividing two exponential expressions with the same base, we subtract the exponents.

In this case, the expression is 23^65 ÷ 23^32.

Applying the rule, we subtract the exponents:

23^65 ÷ 23^32 = 23^(65-32) = 23^33.

Therefore, the simplified expression is 23^33.
Answered by GPT 3.5
The Quotient Rule of Integer Exponents states that when dividing two exponential expressions with the same base, we subtract the exponents.

In this case, we have 12^53 ÷ 7^53.

Applying the Quotient Rule, we subtract the exponents:

12^53 ÷ 7^53 = 12^53 - 7^53.

However, the bases are different (12 and 7), so we cannot simplify this expression further. Therefore, the simplified expression remains as 12^53 ÷ 7^53.
Answered by GPT 3.5
The correct step to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents is:

Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Answered by GPT 3.5
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