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Popular >

simplify (5mn^3)^3

Solution

simplify

(5 m n^{3})^{3}

Solution

125 m^{3} n^{9}

Solution steps

(5 m n^{3})^{3}

Apply exponent rule:

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

(5 m n^{3})^{3} = 5^{3} m^{3} (n^{3})^{3}

= 5^{3} m^{3} (n^{3})^{3}

5^{3} = 125

= 125 m^{3} (n^{3})^{3}

Simplify

(n^{3})^{3} : n^{9}

= 125 m^{3} n^{9}

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Frequently Asked Questions (FAQ)

What is (5mn^3)^3 ?
The solution to (5mn^3)^3 is 125m^3n^9