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Popular >

simplify (5 x/7+3 y/5)^3

Solution

simplify

(5 \frac{x}{7} + 3 \frac{y}{5})^{3}

Solution

\frac{( 25 x + 21 y ) ^{3}}{42875}

Solution steps

(5 \cdot \frac{x}{7} + 3 \cdot \frac{y}{5})^{3}

Simplify

5 \cdot \frac{x}{7} + 3 \cdot \frac{y}{5} : \frac{25 x + 21 y}{35}

= (\frac{25 x + 21 y}{35})^{3}

Apply exponent rule:

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

= \frac{( 25 x + 21 y ) ^{3}}{3 5 ^{3}}

3 5^{3} = 42875

= \frac{( 25 x + 21 y ) ^{3}}{42875}

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Frequently Asked Questions (FAQ)

What is (5 x/7+3 y/5)^3 ?
The solution to (5 x/7+3 y/5)^3 is ((25x+21y)^3)/(42875)