What is \sqrt[3]{(2x+y)^5} ?

The solution to \sqrt[3]{(2x+y)^5} is (2x+y)\sqrt[3]{(2x+y)^2}

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simplify \sqrt[3]{(2x+y)^5}

simplify

Solution steps

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(2 x + y)^{3 + 2} = (2 x + y)^{3} (2 x + y)^{2}

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply radical rule:

n

is odd

12 x^{3} - 18 x y + 24 x

y^{2} \cdot y^{3}

6 - 8150

\frac{4}{9} - \frac{1}{15}

\frac{π}{2 π} + 4

What is \sqrt[3]{(2x+y)^5} ?
The solution to \sqrt[3]{(2x+y)^5} is (2x+y)\sqrt[3]{(2x+y)^2}