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Popular >

simplify \sqrt[12*10]{9^{12}}

Solution

simplify

Solution

+1

Solution steps

Apply radical rule:

= (9^{12})^{\frac{1}{12 \cdot 10}}

Apply exponent rule:

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

= 9^{12 \cdot \frac{1}{12 \cdot 10}}

12 \cdot \frac{1}{12 \cdot 10} = \frac{1}{10}

= 9^{\frac{1}{10}}

Factor the number:

9 = 3^{2}

Apply exponent rule:

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

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Frequently Asked Questions (FAQ)

What is \sqrt[12*10]{9^{12}} ?
The solution to \sqrt[12*10]{9^{12}} is \sqrt[5]{3}