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Popular >

simplify (8/2 x-7/4 y)^3

Solution

simplify

(\frac{8}{2} x - \frac{7}{4} y)^{3}

Solution

\frac{( 16 x - 7 y ) ^{3}}{64}

Solution steps

(\frac{8}{2} x - \frac{7}{4} y)^{3}

Divide the numbers:

\frac{8}{2} = 4

= (4 x - \frac{7}{4} y)^{3}

Multiply fractions:

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

= (4 x - \frac{7 y}{4})^{3}

Join

4 x - \frac{7 y}{4} : \frac{16 x - 7 y}{4}

= (\frac{16 x - 7 y}{4})^{3}

Apply exponent rule:

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

= \frac{( 16 x - 7 y ) ^{3}}{4 ^{3}}

4^{3} = 64

= \frac{( 16 x - 7 y ) ^{3}}{64}

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Frequently Asked Questions (FAQ)

What is (8/2 x-7/4 y)^3 ?
The solution to (8/2 x-7/4 y)^3 is ((16x-7y)^3)/(64)