Question

Rewrite the following without an exponent. (5/8)-1

Answer 1

8/5

Explanation:

`((5)/(8))^(-1)`

To remove the exponent -1 we apply exponential property

if we have negative exponent then we take the reciprocal of base to make the exponent positive

`((a)/(b))^(-1)=((b)/(a))^(1)=(b)/(a)`

a^1 or a area same

`((5)/(8))^(-1)=((8)/(5))^(1)=(8)/(5)`

Answer 2

8/5

Explanation:

(5/8)^-1

The negative exponent means put it in the denominator

1/ (5/8)

1 ÷ (5/8)

Copy dot flip

1 * 8/5

8/5