3.2. Properties of Exponents http://www.ck12.org
4.(− 125 )^13
5.( 4 x^3 y)( 3 x^5 y^2 )^4
6.( 5 x^3 y^2 )^2 ( 7 x^3 y)^2
7.^8 a
(^3) b− 2
(− 4 a^2 b^4 )−^2
8.^5 x
(^2) y− 3
(− 2 x^3 y^2 )−^4
9.
( 3 m (^3) n− 4
2 m−^5 n−^2
)− 4
10.
( 4 m− (^3) n− 4
5 m^5 n−^4
)− 3
11.
(a− (^1) b
a^5 b^4
)− 3
12.^15 c
− (^2) d− 6
3 c−^4 d−^2
13.^12 e
(^5) f
(− 2 e f^3 )−^2
Solve the following equations using properties of exponents.
14.( 810.^75 )^2 =x^3
15.
(
6416
)− 3
=x^3