Question

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

Answer 1

Answer:

8/5

Step-by-step 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

Answer 2

Answer:

8/5

Step-by-step explanation:

$(\frac{5}{8})^{-1}$

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

$(\frac{a}{b})^{-1}=(\frac{b}{a})^{1}=\frac{b}{a}$

a^1 or a area same

$(\frac{5}{8})^{-1}=(\frac{8}{5})^{1}=\frac{8}{5}$