Question

Show all work to write the expression in simplified radical form:


`(8x)^{(2)/(3)}`
(Eight x to the two thirds power)

Answer 1

Answer:0.08333333....

Explanation:

Answer 2

4x²

Explanation:

Normally you would use the exponent → roots rule, but this one simplifies easier without that

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

8 = 2³

so
`(8x)^{(2)/(3) } = (2^(3)x)^{(2)/(3)}`

then the threes cancel, since one is a 3 and the other one is
`(1)/(3)`

so
`(8x)^{(2)/(3) } = (2^(3)x)^{(2)/(3)} = (2x)^2`

then just square the 2 and the x

`(8x)^{(2)/(3) } = (2^(3)x)^{(2)/(3)} = (2x)^2 = 4x^2`