Intermediate Algebra Problems With Answers - Sample 12 - Simplify Algebraic Expressions with Exponents
A set of intermediate algebra problems, related to simplifying algebraic expressions using the exponent rules and properties. The solutions to these problems are at the bottom of the page.
Note: all letters used in the expressions below represent numbers that are not equal to 0.
Simplify the following expressions and write them with positive exponents.
a) x 2 x 3
b) a -2 a -3
c) a 5 / a 2
d) a -3 / a 7
e) (x 2) 3
f) (x -2) 5
g) (x 2 y 3) 3
h) (x -2 y 3) 8
Simplify the following expressions and write them with positive exponents.
a) ( y 4 / y 2 ) 3
b) ( y 4 / y -3 ) -2
c) ( y 4 x 12 / y 2 ) 3
d) ( y 12 x 56 / y 3 ) 0
e) (x 2 y 4) 2 / (x y -2 ) 3
Simplify the following expressions and write them with positive exponents.
a) ( x y 2 ) 2 ( x 2 y 2 ) 2 / ( x y ) 4
b) ( (a b 2) 3 (a 2 b 2) 4 ) 2
c) ( x 2 y 3 ) 0 ( x 4 y 3 ) 4 / ( x y 2 ) 3
d) ( x 3 y -2 ) 2 ( x -2 y 3 ) 4 / ( x -2 y -2 ) 3
