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

1 Answer
EET-AP
Mar 29, 2017

#(2/3)^-2 = 9/4 = 2 1/4#

Explanation:

#(2/3)^-2#

is a fraction with an exponent that would normally require multiplication of itself by the number of times indicated by the exponent.

In this case the exponent is negative, which must be dealt with first. A negative exponent requires that the fraction be inverted:

#(2/3)^-2 = (3/2)^2#

Then: #(3/2)^2= (3/2)(3/2) = (9/4) = 2 1/4#

Related questions
See all questions in Fractional Exponents
Impact of this question
4840 views around the world
You can reuse this answer
Creative Commons License