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#