Question

Which of the following is equal to the fraction below? (5/9)^8

Answer 1

To raise a fraction to an exponent, raise the numerator and the denominator to the exponent.


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

Answer: Choice C.

Answer 2

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

Option C is correct

Explanation:

`\text{Given the fraction }((5)/(9))^8`

we have to choose the correct option which is equal to above.

As we know

`((a)/(b))^m=(a^m)/(b^m)`

Put a=5, b=9, m=8

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

Therefore, option C is correct