Question

Which of the following is equal to the fraction below?

Answer 1

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

answer; B

Answer 2

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((a)/(b)\right)^c = (a^c)/(b^(c))`

So
`\displaystyle \left((5)/(9)\right)^8 = (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.