Can anyone show me how to simplify this step-by-step? THANKS A MILLION!

Question

(6x^-2)^2(0.5x)^4

Answer 1

I thought this question looked familiar.
Did it on Friday

http://www.jiskha.com/display.cgi?id=1455295033

Answer 2

x ^ - 2 = 1 / x ^ 2

( 6 x ^ - 2 ) ^ 2 =

( 6 / x ^ 2 ) ^ 2 =

6 ^ 2 / ( x ^ 2 ) ^ 2 =

36 / x ^ 4

( 0.5 x ) ^ 4 =

0.5 ^ 4 * x ^ 4 =

0.0625 x ^ 4

( 6 x ^ - 2 ) ^ 2 0.5 x ^ 4 =

( 36 / x ^ 4 ) * 0.0625 x ^ 4 =

36 * 0.0625 * x ^ 4 / x ^ 4 =

36 * 0.0625 = 2.25

Answer 3

Thanks guys! I owe you one!