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.

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

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