Question

Which of the following is equal to the fraction below?

Answer 1

Answer:   Choice B

Reason:

We apply the exponent 8 to each term inside. Think of it like the distribution rule in a way.

The rule is $\displaystyle \left(\frac{a}{b}\right)^c = \frac{a^c}{b^{c}}$

So $\displaystyle \left(\frac{5}{9}\right)^8 = \frac{5^8}{9^{8}}$

The reason this works is because we have 8 copies of (5/9), so we'll have 8 copies of "5" in the numerator multiplied together. Also, we'll have 8 copies of "9" in the denominator multiplied together.

Answer 2

Answer:

(5/9)^8 = 5^8/9^8

answer; B