Question

Work out 8^2/3 ^2/3 means to the power of 2/3

Answer 1

Hi there!  

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I believe your answer is:  

4

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Here’s why:

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$\boxed{\text{Calculating the Answer...}}\\\\8^{\frac{2}{3}}\\-----------\\\text{Recall the Exponent Rule: }} a^{\frac{b}{c}} = \sqrt[c]{a^b}\\\\\rightarrow {\frac{\text{Power}}{\text{Root Index}}$

$-----------$

$\rightarrow 8^{\frac{2}{3}}\\\\\rightarrow \sqrt[3]{(8^2)}\\\\\rightarrow\sqrt[3]{64}\\\\\rightarrow \boxed{4}$

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Hope this helps you. I apologize if it’s incorrect.  

Answer 2

Answer:

4

Step-by-step explanation:

$8^{\frac{2}{3} }$

=$(2)^3*\frac{2}{3}$

=$(2)^\frac{3*2}{2}$

=$(2)^\frac{6}{3}$

=$2^2$

=4