Question

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

Answer 1

4

Explanation:

`8^{(2)/(3) }`

=
`(2)^3*(2)/(3)`

=
`(2)^(3*2)/(2)`

=
`(2)^(6)/(3)`

=
`2^2`

=4

Answer 2

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^{(2)/(3)}\\-----------\\\text{Recall the Exponent Rule: }} a^{(b)/(c)} = \sqrt[c]{a^b}\\\\\rightarrow {\frac{\text{Power}}{\text{Root Index}}\\\\`

`-----------`

`\rightarrow 8^{(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.