Question

Which of the following is equal to the fraction below?

(4/5)^6
A.4^6/5^6
B.24/30
C.4^6/5
D.6•(4/5)

Answer 1

A.4^6/5^6

Explanation:

The answer is A.

The reason for this answer equaling to the fraction given is that when solving a fraction in parenthesis raised to a power, the first step to solving it is distributing the power to both parts of the fraction.

To solve this fraction, follow these steps:

Step 1:

(4/5)^6

Step 2:

Distribute the power to both part of the fraction.

4^6/5^6 (compare the answer choice A. to step 2).

Step 3:

4096/15625

Step 4:

4096/15625≈0.26 (The wavy equal sign means approximately equal to).

Hope this helps!