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Popular >

simplify (a/2+b/5)^3

Solution

simplify

(\frac{a}{2} + \frac{b}{5})^{3}

Solution

\frac{( 5 a + 2 b ) ^{3}}{1000}

Solution steps

(\frac{a}{2} + \frac{b}{5})^{3}

Simplify

\frac{a}{2} + \frac{b}{5} : \frac{5 a + 2 b}{10}

= (\frac{5 a + 2 b}{10})^{3}

Apply exponent rule:

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

= \frac{( 5 a + 2 b ) ^{3}}{1 0 ^{3}}

1 0^{3} = 1000

= \frac{( 5 a + 2 b ) ^{3}}{1000}

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Frequently Asked Questions (FAQ)

What is (a/2+b/5)^3 ?
The solution to (a/2+b/5)^3 is ((5a+2b)^3)/(1000)