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

D.
`\displaystyle{(5^8)/(9^8)}`

Explanation:

The law of exponent defines that:

`\displaystyle{\left((a)/(b)\right)^n = (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((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!