use the power rule
( a b ) n = a n b n
to distribute the exponent.
apply the product rule to
3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2
apply the product rule to
3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2
raise
3
to the power of
2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in ( x 2 ) 2
.
apply the power rule and multiply exponents,
( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2
multiply
2 by 2 . 9 x 4 ( y 3 ) 2
multiply the exponents in
( y 3 ) 2 .
apply the power rule and multiply exponents,
( a m ) n = a m n . 9 x 4 y 3
⋅
2
multiply
3 by 2 . 9 x 4 y 6
step-by-step explanation:
