Math: simplification with a rational exponent

Tutoring math, this topic is perennial.  The math tutor works an example.

Imagine you are posed the following question:

Simplify 32^(6/5)

First, realize the following:

32^(6/5)=5√(32)^6

5√(32)=2, since 2*2*2*2*2 = 2^5 = 32. Therefore,

32^(6/5)=5√(32)^6=2^6=64

So 32^(6/5)=64.

I’ll be saying more about this topic in future posts. Cheers:)

Jack of Oracle Tutoring by Jack and Diane, Campbell River, BC.

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