Simplify. Express your answer as a single term, without a denominator. how do you solve this?

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1 Answer
Apr 17, 2018

#(uv^2w*u^2vw^0)/(uv^9w^0)=color(blue)(u^2v^(-6)w#

Explanation:

Simplify.

#(uv^2w*u^2vw^0)/(uv^9w^0)#

Apply exponent rule: #a^0=1#

#(uv^2w*u^2v*1)/(uv^(9)*1)#

Simplify.

#(uv^2w*u^2v)/(uv^(9))#

Apply product rule of exponents: #a^ma^n=a^(m+n)#

#(u^(1+2)v^(2+1)w)/(uv^9)#

Simplify.

#(u^3v^3w)/(uv^9)#

Apply quotient rule of exponents: #a^m/a^n=a^(m-n)#

#u^(3-1)v^(3-9)w#

Simplify.

#u^2v^(-6)w#