Question

Work out the value of 64^2/3

Answer 1

The exact value is 16.

Explanation:

Rewrite 64 as 4³ so it would be (4³)^2/3

Apply the power rule and multiply exponents, (a^m) n = a^mn, so you get 4^3 (^2/3).

Then, cancel the common factor of 3 and rewrite it so you end up with 4^2.

Lastly, you will raise 4 to the power of 2 to get the base of 16.

-A.H. [P.G]