What is (1/(4x^3y^4))(1/(3xy^2)) ?

The solution to (1/(4x^3y^4))(1/(3xy^2)) is 1/(12x^4y^6)

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simplify (1/(4x^3y^4))(1/(3xy^2))

simplify

(\frac{1}{4 x ^{3} y ^{4}}) (\frac{1}{3 x y ^{2}})

\frac{1}{12 x ^{4} y ^{6}}

Solution steps

(\frac{1}{4 x ^{3} y ^{4}}) (\frac{1}{3 x y ^{2}})

Simplify

(\frac{1}{4 x ^{3} y ^{4}}) (\frac{1}{3 x y ^{2}}) : \frac{1}{4 x ^{3} y ^{4}} \cdot \frac{1}{3 x y ^{2}}

= \frac{1}{4 x ^{3} y ^{4}} \cdot \frac{1}{3 x y ^{2}}

Apply the fraction rule:

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

= \frac{1 \cdot 1}{4 x ^{3} y ^{4} \cdot 3 x y ^{2}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{4 x ^{3} y ^{4} \cdot 3 x y ^{2}}

Simplify

4 x^{3} y^{4} \cdot 3 x y^{2} : 12 x^{4} y^{6}

= \frac{1}{12 x ^{4} y ^{6}}

4 \cdot \frac{5}{4}

2.7

\frac{120}{20}

- 4 - - 64 + 81 - - 36

1.3

What is (1/(4x^3y^4))(1/(3xy^2)) ?
The solution to (1/(4x^3y^4))(1/(3xy^2)) is 1/(12x^4y^6)