How do you simplify #\frac { ( a ^ { - 2} b ^ { 3} c ^ { - 2} ) ^ { - 1} } { ( a ^ { 5} b ^ { 2} c ^ { - 5} ) ^ { 5} }#?

1 Answer
Tazwar Sikder · MathFact-orials.blogspot.com
May 23, 2017

We have: #frac((a^(- 2) b^(3) c^(- 2))^(- 1))((a^(5) b^(2) c^(- 5))^(5))#

Using the laws of exponents:

#= frac(a^(2) b^(- 3) c^( 2))(a^(25) b^(10) c^(- 25))#

#= a^(2 - 25) b^(- 3 - 10) c^( 2 - (- 25))#

#= a^(- 23) b^(- 13) c^(27)#

#= frac(c^(27))(a^(23) b^(13))#

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