How do you simplify #(42y^7)/(9y^8x)#?

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Answer 1 · 2015-04-10T22:05:11

The answer is #14/(3yx)#

Simplify #(42y^7)/(y^8x)#

Simplify the coefficients.

#42/3=((cancel 3)*2*7)/((cancel 3)*3)=14/3#

Simplify the variables.

#(y^7)/(y^8x)=(y^(7-8))/(x)=y^(-1)/(x)=1/(yx)#

Multiply the simplified coefficients and variables.

#14/3*1/(yx)=14/(3yx)#