( 3 x 3 2 y 3 x 2 y − 1 2 ) − 2 ( 3 x 3 2 y 3 x 2 y - 1 2 ) - 2 Move x 3 2 x 3 2 to the denominator using the negative exponent rule b n = 1 b − n b n = 1 b - n . ⎛ ⎝ 3 y 3 x 2 y − 1 2 x − 3 2 ⎞ ⎠ − 2 ( 3 y 3 x 2 y - 1 2 x - 3 2 ) - 2 Multiply x 2 x 2 by x − 3 2 x - 3 2 by adding the exponents. Tap for more steps... ( 3 y 3 x 1 2 y − 1 2 ) − 2 ( 3 y 3 x 1 2 y - 1 2 ) - 2 Move y − 1 2 y - 1 2 to the numerator using the negative exponent rule 1 b − n = b n 1 b - n = b n . ( 3 y 3 y 1 2 x 1 2 ) − 2 ( 3 y 3 y 1 2 x 1 2 ) - 2 Multiply y 3 y 3 by y 1 2 y 1 2 by adding the exponents. Tap for more steps... ⎛ ⎝ 3 y 7 2 x 1 2 ⎞ ⎠ − 2 ( 3 y 7 2 x 1 2 ) - 2 Change the sign of the exponent by rewriting the base as its reciprocal. ⎛ ⎝ x 1 2 3 y 7 2 ⎞ ⎠ 2 ( x 1 2 3 y 7 2 ) 2 Use the power rule ( a b ) n = a n b n ( a b ) n = a n b n to distribute the exponent. Tap for more steps... ( x 1 2 ) 2 3 2 ( y 7 2 ) 2 ( x 1 2 ) 2 3 2 ( y 7 2 ) 2 Simplify the numerator. Tap for more steps... x 3 2 ( y 7 2 ) 2 x 3 2 ( y 7 2 ) 2 Simplify the denominator. Tap for more steps... x 9 y 7
