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Popular >

simplify (3/x+4/y)^3

Solution

simplify

(\frac{3}{x} + \frac{4}{y})^{3}

Solution

\frac{( 3 y + 4 x ) ^{3}}{x ^{3} y ^{3}}

Solution steps

(\frac{3}{x} + \frac{4}{y})^{3}

Join

\frac{3}{x} + \frac{4}{y} : \frac{3 y + 4 x}{x y}

= (\frac{3 y + 4 x}{x y})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 3 y + 4 x ) ^{3}}{( x y ) ^{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(x y)^{3} = x^{3} y^{3}

= \frac{( 3 y + 4 x ) ^{3}}{x ^{3} y ^{3}}

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Frequently Asked Questions (FAQ)

What is (3/x+4/y)^3 ?
The solution to (3/x+4/y)^3 is ((3y+4x)^3)/(x^3y^3)