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Popular >

simplify (2m^5n^{11})^6

Solution

simplify

(2 m^{5} n^{11})^{6}

Solution

64 m^{30} n^{66}

Solution steps

(2 m^{5} n^{11})^{6}

Apply exponent rule:

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

(2 m^{5} n^{11})^{6} = 2^{6} (m^{5})^{6} (n^{11})^{6}

= 2^{6} (m^{5})^{6} (n^{11})^{6}

2^{6} = 64

= 64 (m^{5})^{6} (n^{11})^{6}

Simplify

(m^{5})^{6} : m^{30}

= 64 m^{30} (n^{11})^{6}

Simplify

(n^{11})^{6} : n^{66}

= 64 m^{30} n^{66}

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Frequently Asked Questions (FAQ)

What is (2m^5n^{11})^6 ?
The solution to (2m^5n^{11})^6 is 64m^{30}n^{66}