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

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Answer 1 · 2015-09-17T01:54:03

9

Make that negative power into a multiplication, since dividing a negative power just makes it positive

#2^2 * (3/2)^(2)#

Expand the power to both numerator and denominator

#2^2*3/2*3/2 = 2^2 * 3^2/2^2#

The #2^2# on the numerator cancels the one in the denominator,

#2^2 * 3^2/2^2 = 3^2#

Evaluate that

#3^2 = 3 * 3 = 9#