Question

Find the value of the following:
(27)2/3​

Answer 1

★ SOLUTION(●’◡’●)

Given: 27 to the power of 2/3 or 27(2/3).

First, rewrite 27 as 33.

27(2/3)= 33(2/3).

We will apply the rules of exponents and multiply exponents, (am)n = amn.

So we cancel the common factor of 3 to get

32 = 3 × 3 = 9.

Thus, 27 to the power of 2/3 is 9.

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