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

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Answer 1 · 2017-06-16T18:32:56

$x^3/y^15$

Step 1: Use the following law of exponents to simplify the numerator (top) of the fraction:

$(a^m)^n=a^((m)(n))$

$(x^9y^-12)/y^3$

Step 2: Use the following 2 laws of exponents to simplify further.

$a^m/a^n=a^(m-n)$

$x^3y^-15$

$a^-m=1/a^m$

$x^3/y^15$

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