Question

Express in simplest radical form.

64 2/3 • 64 1/3

Answer 1

The answer is

64

Explanation:

`{64}^{ (2)/(3) } * {64}^{ (1)/( 3) }`

Since they have the same base and are multiplying we add the exponents using the rules of indices

So we have

`{64}^{ (2)/(3) + (1)/(3) }`

Which is

`{64}^{ (3)/(3) }`

And 3/3 = 1

`{64}^(1)`

We have the final answer as

64

Hope this helps you