How do you simplify (x12y2)54x2y12?

1 Answer
May 3, 2017

f(x,y)=1x118y3

Explanation:

Given:
f(x,y)=(x12y2)54x2y12

We first distribute the power in the numerator using the Power Rule for exponents, since the base terms x and y are being multiplied together and not added.

f(x,y)=x(12)(54)y(2)(54)x2y12=x58y52x2y12

Now we apply the Quotient Rule for Exponents on both x and y, following:

xaxb=xab

f(x,y)=x582y5212=x118y3

Now, we apply the negative exponent rule,

xa=1xa

f(x,y)=1x118y3