Risolvi (x^3y/4)div(4/xdiv6/y^3) | Microsoft Math Solver

Calcola

\frac{3 x ^{4}}{8 y ^{2}}

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Procedura della soluzione

(\frac{x ^{3} y}{4}) \div (\frac{4}{x} \div \frac{6}{y ^{3}})

Dividi

\frac{x ^{3} y}{4}

per

\frac{\frac{4}{x}}{\frac{6}{y ^{3}}}

moltiplicando

\frac{x ^{3} y}{4}

per il reciproco di

\frac{\frac{4}{x}}{\frac{6}{y ^{3}}}

.

\frac{x ^{3} y \times ( \frac{6}{y ^{3}} )}{4 \times ( \frac{4}{x} )}

Esprimi

x^{3} \times (\frac{6}{y ^{3}})

come singola frazione.

\frac{\frac{x ^{3} \times 6}{y ^{3}} y}{4 \times ( \frac{4}{x} )}

Esprimi

4 \times (\frac{4}{x})

come singola frazione.

\frac{\frac{x ^{3} \times 6}{y ^{3}} y}{\frac{4 \times 4}{x}}

Esprimi

\frac{x ^{3} \times 6}{y ^{3}} y

come singola frazione.

\frac{\frac{x ^{3} \times 6 y}{y ^{3}}}{\frac{4 \times 4}{x}}

Cancella

y

nel numeratore e nel denominatore.

\frac{\frac{6 x ^{3}}{y ^{2}}}{\frac{4 \times 4}{x}}

Moltiplica

4

e

4

per ottenere

16

.

\frac{\frac{6 x ^{3}}{y ^{2}}}{\frac{1 6}{x}}

Dividi

\frac{6 x ^{3}}{y ^{2}}

per

\frac{1 6}{x}

moltiplicando

\frac{6 x ^{3}}{y ^{2}}

per il reciproco di

\frac{1 6}{x}

.

\frac{6 x ^{3} x}{y ^{2} \times 1 6}

Cancella

2

nel numeratore e nel denominatore.

\frac{3 x x ^{3}}{8 y ^{2}}

Per moltiplicare le potenze della stessa base, somma i relativi esponenti. Somma

1

e

3

per ottenere

4

.

\frac{3 x ^{4}}{8 y ^{2}}

Differenzia rispetto a x

\frac{3 x ^{3}}{2 y ^{2}}

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Quiz

(\frac{x ^{3} y}{4}) \div (\frac{4}{x} \div \frac{6}{y ^{3}})

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How do you find the quotient of

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(\frac{r ^{4} g h}{f ^{3} x ^{2} y}

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How do you divide

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Copia

Copiato negli Appunti

\frac{x^{3}y\times \left(\frac{6}{y^{3}}\right)}{4\times \left(\frac{4}{x}\right)}

Dividi \frac{x^{3}y}{4} per\frac{\frac{4}{x}}{\frac{6}{y^{3}}} moltiplicando \frac{x^{3}y}{4} per il reciproco di \frac{\frac{4}{x}}{\frac{6}{y^{3}}}.

\frac{\frac{x^{3}\times 6}{y^{3}}y}{4\times \left(\frac{4}{x}\right)}

Esprimi x^{3}\times \left(\frac{6}{y^{3}}\right) come singola frazione.

\frac{\frac{x^{3}\times 6}{y^{3}}y}{\frac{4\times 4}{x}}

Esprimi 4\times \left(\frac{4}{x}\right) come singola frazione.

\frac{\frac{x^{3}\times 6y}{y^{3}}}{\frac{4\times 4}{x}}

Esprimi \frac{x^{3}\times 6}{y^{3}}y come singola frazione.

\frac{\frac{6x^{3}}{y^{2}}}{\frac{4\times 4}{x}}

Cancella y nel numeratore e nel denominatore.

\frac{\frac{6x^{3}}{y^{2}}}{\frac{16}{x}}

Moltiplica 4 e 4 per ottenere 16.

\frac{6x^{3}x}{y^{2}\times 16}

Dividi \frac{6x^{3}}{y^{2}} per\frac{16}{x} moltiplicando \frac{6x^{3}}{y^{2}} per il reciproco di \frac{16}{x}.

\frac{3xx^{3}}{8y^{2}}

Cancella 2 nel numeratore e nel denominatore.

\frac{3x^{4}}{8y^{2}}

Per moltiplicare le potenze della stessa base, somma i relativi esponenti. Somma 1 e 3 per ottenere 4.

Esempi

Equazione quadratica

x^{2} - 4 x - 5 = 0

4 sin θ cos θ = 2 sin θ

Equazione lineare

y = 3 x + 4

699 * 533

[2534] [2 - 1 0135]

Equazione simultanea

{8 x + 2 y = 46 7 x + 3 y = 47

Differenziazione

\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

\int_{0}^{1} x e^{- x^{2}} d x

x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}