What is (32x^3y)/(y^8)*(8x^4)/(y^7) ?

The solution to (32x^3y)/(y^8)*(8x^4)/(y^7) is (256x^7)/(y^{14)}

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simplify (32x^3y)/(y^8)*(8x^4)/(y^7)

simplify

\frac{32 x ^{3} y}{y ^{8}} \cdot \frac{8 x ^{4}}{y ^{7}}

\frac{256 x ^{7}}{y ^{14}}

Solution steps

\frac{32 x ^{3} y}{y ^{8}} \cdot \frac{8 x ^{4}}{y ^{7}}

Cancel

\frac{32 x ^{3} y}{y ^{8}} : \frac{32 x ^{3}}{y ^{7}}

= \frac{32 x ^{3}}{y ^{7}} \cdot \frac{8 x ^{4}}{y ^{7}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{32 x ^{3} \cdot 8 x ^{4}}{y ^{7} y ^{7}}

Simplify

32 x^{3} \cdot 8 x^{4} : 256 x^{7}

= \frac{256 x ^{7}}{y ^{7} y ^{7}}

Simplify

y^{7} y^{7} : y^{14}

= \frac{256 x ^{7}}{y ^{14}}

(\frac{\frac{8}{9 t}}{\frac{1}{3 s t}}) \cdot \frac{s}{4}

m^{2} + mn - 56 n^{2}

∣ 4 x + 3 ∣ = ∣ 2 x + 1 ∣

5^{2} + b^{2} = 7^{2}

192 w^{3} - 3

What is (32x^3y)/(y^8)*(8x^4)/(y^7) ?
The solution to (32x^3y)/(y^8)*(8x^4)/(y^7) is (256x^7)/(y^{14)}