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Popular >

simplify \sqrt[3]{10^{a+b}}

Solution

simplify

Solution

1 0^{\frac{a + b}{3}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

Simplify

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

= 1 0^{\frac{a + b}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{10^{a+b}} ?
The solution to \sqrt[3]{10^{a+b}} is 10^{(a+b)/3}