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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

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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



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