Question

Simplify each expression:

1. (3x^2)(-5x^-1)^2

2. ( 5y^4/2y^6)^3

Answer 1

use below exponent/power properties :

\((ab)^n = a^n * b^n\)

\(a^m * a^n = a^{m+n}\)

Answer 2

is it 75 for the first one

Answer 3

1. \((3x^2)(-5x^{-1})^2\)


\((3x^2)(-5)^2 (x^{-1})^2\)

\((3x^2) (25)(x^{-2})\)

\(25 (3x^2) (x^{-2})\)

\(75 (x^2) (x^{-2})\)

\(75 x^{2-2})\)

\(75 x^0\)

\(75 \)

Answer 4

yes !

Answer 5

thanks so much

Answer 6

for the second one is it 125 y^30/8

Answer 7

thanks so much

Answer 8

for the second one you should get :

\(\large \dfrac{125}{8y^6}\)

Answer 9

thanks