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Popular >

simplify (32m^5n^{30})^{1/5}

Solution

simplify

(32 m^{5} n^{30})^{\frac{1}{5}}

Solution

2 m n^{6}

Solution steps

(32 m^{5} n^{30})^{\frac{1}{5}}

Apply exponent rule:

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

(32 m^{5} n^{30})^{\frac{1}{5}} = 3 2^{\frac{1}{5}} (m^{5})^{\frac{1}{5}} (n^{30})^{\frac{1}{5}}

= 3 2^{\frac{1}{5}} (m^{5})^{\frac{1}{5}} (n^{30})^{\frac{1}{5}}

3 2^{\frac{1}{5}} = 2

= 2 (m^{5})^{\frac{1}{5}} (n^{30})^{\frac{1}{5}}

Simplify

(m^{5})^{\frac{1}{5}} : m

= 2 m (n^{30})^{\frac{1}{5}}

Simplify

(n^{30})^{\frac{1}{5}} : n^{6}

= 2 m n^{6}

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Frequently Asked Questions (FAQ)

What is (32m^5n^{30})^{1/5} ?
The solution to (32m^5n^{30})^{1/5} is 2mn^6