Exponents and Roots: a³b²/a²b

by Jeffery Evans
(Arlington, TX, USA)

Exponent Division

• Simplify the following fraction (expression) involving variables and exponents:

a³b²/a²b

• demonstrate

how to simplify this expression without using exponents

how to simplify this expression using exponents exclusively.

Comments for Exponents and Roots: a³b²/a²b

 Oct 19, 2012 Exponent Division by: Staff Answer          simplify expression without using exponents ``` a³b² ------ a²b Factor the numerator and denominator completely a * a * a * b * b ------------------- a * a * b Cancel like terms in the numerator and denominator a * a * a * b * b ------------------- a * a * b a * a * a * b * b ------------------- a * a * b a * b Final Answer: ab ```          simplify expression using exponents exclusively ``` a³b² ------ a²b Subtract the exponents in the denominator from the exponents in the numerator a(3-2)b(2-1) a(1)b(1) a1b1 ab Final Answer: ab ``` Thanks for writing. Staff www.solving-math-problems.com