Question

Which of the following is equal to the fraction below? Help please Correct answers

Answer 1

4^6/5^6 is equal to (4/5)^6.

The answer is C.

I hope this helps. Sorry for such a late response.

Answer 2

Answer:  The correct option is (C) $\dfrac{4^6}{5^6}.$

Step-by-step explanation:  We are given to select the fraction that is equivalent to the following fraction :

$F=\left(\dfrac{4}{5}\right)^6.$

We will be using the following property of exponents :

$\left(\dfrac{x}{y}\right)^z=\dfrac{x^z}{y^z}.$

Therefore, for the given fraction, we have

$F=\left(\dfrac{4}{5}\right)^6=\dfrac{4^6}{5^6}.$

Thus, the correct option is (C).