How do you simplify #(\frac { y ^ { 3} } { x ^ { - 5} } ) ^ { - 9}#?

1 Answer
kumail
Apr 12, 2017

Use exponent rules to simplify the expression

Explanation:

Remember that #x^-1 = 1/(x^1)#
So #(y^3 / x^-5)^-9 = (x^-5/y^3)^9 = (x^-5)^9 / (y^3)^9#
Since #x^(a^b) = x^(a*b)#
#(x^-5)^9 / (y^3)^9 = (x^(-5*9)) / (y^(3*9)) = x^-45 / y^27#

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