SOLUTION: i have a question. i am asked to put in simplest form. (2/3)^-2(4/5)^-1. im not sure about the answer. i think its 7/2 is that correct. i would appreciate the help. thanks a bunch

Question 276679: i have a question. i am asked to put in simplest form. (2/3)^-2(4/5)^-1. im not sure about the answer. i think its 7/2 is that correct. i would appreciate the help. thanks a bunch
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

A -1 as an exponent means "reciprocal of" so
A -2 as an exponent means "reciprocal of the square" (or "square of the reciprocal") so
Substituting these into your expression we get:

which simplifies to

which, as a mixed number is

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