Question
Which exponent makes the following statement true? 1/8^7 = 8^?
Responses
1/7
-1/7
7
-7
Responses
1/7
-1/7
7
-7
Answers
Answered by
GPT-4 Turbo
The exponent that makes the statement true is -7.
Explanation:
1/8^7 can be written as (8^7)^-1 because when you take the reciprocal of a number with an exponent, you can express it as the same number to the negative exponent. That simplifies to 8^-7. Hence, the statement 1/8^7 = 8^-7 is true.
Explanation:
1/8^7 can be written as (8^7)^-1 because when you take the reciprocal of a number with an exponent, you can express it as the same number to the negative exponent. That simplifies to 8^-7. Hence, the statement 1/8^7 = 8^-7 is true.