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Popular >

simplify \sqrt[3]{x^{3a+3b}}

Solution

simplify

Solution

x^{a + b}

Solution steps

Apply radical rule:

= (x^{3 a + 3 b})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= x^{(3 a + 3 b) \frac{1}{3}}

Simplify

(3 a + 3 b) \frac{1}{3} : a + b

= x^{a + b}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{x^{3a+3b}} ?
The solution to \sqrt[3]{x^{3a+3b}} is x^{a+b}