What is \sqrt[3]{(5y)^4} ?

The solution to \sqrt[3]{(5y)^4} is 5\sqrt[3]{5}y\sqrt[3]{y}

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simplify \sqrt[3]{(5y)^4}

simplify

Solution steps

Apply exponent rule:

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

(5 y)^{3 + 1} = (5 y)^{3} \cdot 5 y

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply radical rule:

n

is odd

Apply radical rule:

assuming

a \geq 0, b \geq 0

- (3 x + 7 y + 4 x) - 6 (- y + x)

(3 + 8 i) (- 2 - i)

18 x^{3} + 5 x^{2} - 2 x

6 qw + 2 w + 3 wq + 6 w

(4 a^{2} - 3 b^{3})^{2}

What is \sqrt[3]{(5y)^4} ?
The solution to \sqrt[3]{(5y)^4} is 5\sqrt[3]{5}y\sqrt[3]{y}