How do you simplify #(\frac { 4x ^ { 4} } { 5y ^ { 3} } ) ^ { - 3}#?

1 Answer
EZ as pi
Apr 11, 2017

#(125y^9)/(64x^12)#

Explanation:

One of the laws of indices states: #(x/y)^-m = (y/x)^(+m)#

#((4x^4)/(5y^3))^-3#

Find the reciprocal of the fraction and the index changes to positive.

#((5y^3)/(4x^4))^3#

#(125y^9)/(64x^12)#

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