Question

Use radical notation to write the expression. Simplify if possible.

(-64) 2/3

Answer 1

16

Explanation:

we know that

`a^{(n)/(m)}=\sqrt[m]{a^(n)}`

In this problem we have

`(-64)^{(2)/(3)}`

therefore

`a=-64`

`n=2`

`m=3`

substitute

`(-64)^{(2)/(3)}=\sqrt[3]{(-64)^(2)}`

Remember that

`64=4^(3)`

substitute

`\sqrt[3]{(-4^(3))^(2)}=\sqrt[3]{(-4^(2))^(3)}=\sqrt[3]{(16)^(3)}=16`