Question

What makes the statement true? 8^-2=?

Answer 1

`(1)/(64)` makes the statement true.

Explanation:

Given expression,

`8^(-2)`

By using the property of exponent, i.e.
`a^m=(1)/(a^(-m))`

`\implies 8^(-2)=(1)/(8^(2))`

`=(1)/(64)`

Hence, the true statement would be,

`8^(-2)=(1)/(64)`

Answer 2

I think the correct answer would be 1/64. A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. It is calculated as follows:

8^-2 = 1/8^2 = 1/64

Hope this answers the question. Have a nice day.