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Popular >

simplify (9mn^6)^{1/2}

Solution

simplify

(9 m n^{6})^{\frac{1}{2}}

Solution

3 m^{\frac{1}{2}} n^{3}

Solution steps

(9 m n^{6})^{\frac{1}{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(9 m n^{6})^{\frac{1}{2}} = 9^{\frac{1}{2}} m^{\frac{1}{2}} (n^{6})^{\frac{1}{2}}

= 9^{\frac{1}{2}} m^{\frac{1}{2}} (n^{6})^{\frac{1}{2}}

9^{\frac{1}{2}} = 3

= 3 m^{\frac{1}{2}} (n^{6})^{\frac{1}{2}}

Simplify

(n^{6})^{\frac{1}{2}} : n^{3}

= 3 m^{\frac{1}{2}} n^{3}

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Frequently Asked Questions (FAQ)

What is (9mn^6)^{1/2} ?
The solution to (9mn^6)^{1/2} is 3m^{1/2}n^3