How do you simplify $4(8)^(-2/3)$ ?

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Answer 1 · 2017-04-16T18:14:12

The negative index means that the base can be moved to the denominator and become positive.

$4(8)^(-2/3)$

$= 4/8^(2/3)$

A fractional index can be written as an index and a root.

$=4/(root3(8)^2)$

$=4/2^2$

$=4/4$

$=1$

How do you simplify 4(8)^(-2/3)4(8)^(-2/3)?