Question

Which of the following is equal to the fraction below?

(5/9)^8

A. 8(5/9)

B. 5^8/9

C. 5/9^8

D. 5^8/9^8

Answer 1

Answer:

D. $\displaystyle{\dfrac{5^8}{9^8}}$

Step-by-step explanation:

The law of exponent defines that:

$\displaystyle{\left(\dfrac{a}{b}\right)^n = \dfrac{a^n}{b^n}}$

In word, you simplify the expression by expanding an exponent to both numerator and denominator.

So from the expression $\displaystyle{\left(\dfrac{5}{9}\right)^8}$, you expand the exponent 8 in both numerator and denominator then you'll end up with D choice!

If you have any questions then please let me know in comment!