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#