What is (6xy^6)/(4xy^5) ?

The solution to (6xy^6)/(4xy^5) is (3y)/2

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simplify (6xy^6)/(4xy^5)

simplify

\frac{6 x y ^{6}}{4 x y ^{5}}

\frac{3 y}{2}

Solution steps

\frac{6 x y ^{6}}{4 x y ^{5}}

Cancel the common factor:

x

= \frac{6 y ^{6}}{4 y ^{5}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3 y ^{6}}{4 y ^{5}}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 3 y ^{6}}{2 \cdot 2 y ^{5}}

Cancel the common factor:

2

= \frac{3 y ^{6}}{2 y ^{5}}

Simplify

\frac{y ^{6}}{y ^{5}} : y

= \frac{3 y}{2}

2 x^{4} y - 3 x^{2} y

x^{4} + 10 x^{2} + 21

8 x^{2} - 14 x + 3

\frac{5}{3} x - \frac{1}{6} = x + \frac{1}{4}

\frac{53 + 56 i}{47 - 13 i}