How do you simplify #\frac { ( 5a ^ { 3} b ^ { - 2} ) ^ { 4} } { ( 5a ^ { - 4} b ^ { - 5} ) ^ { - 2} }#?

1 Answer
NJ
Mar 8, 2018

#(5^6a^4)/(b^18) #

Explanation:

#\frac { ( 5a ^ { 3} b ^ { - 2} ) ^ { 4} } { ( 5a ^ { - 4} b ^ { - 5} ) ^ { - 2} }#

#= (5^4(a^3)^4(b^-2)^4)/(5^(-2)(a^(-4))^(-2)(b^(-5))^(-2))#

# = (5^4a^12b^(-8))/(5^(-2)a^8b^10)#

#= (5^6a^4)/(b^18) #

or

#= 15625(a^4)/(b^18)#

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