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Popular >

simplify (-5m^6n^8)^4

Solution

simplify

(- 5 m^{6} n^{8})^{4}

Solution

625 m^{24} n^{32}

Solution steps

(- 5 m^{6} n^{8})^{4}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 5 m^{6} n^{8})^{4} = (5 m^{6} n^{8})^{4}

= (5 m^{6} n^{8})^{4}

Apply exponent rule:

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

(5 m^{6} n^{8})^{4} = 5^{4} (m^{6})^{4} (n^{8})^{4}

= 5^{4} (m^{6})^{4} (n^{8})^{4}

5^{4} = 625

= 625 (m^{6})^{4} (n^{8})^{4}

Simplify

(m^{6})^{4} : m^{24}

= 625 m^{24} (n^{8})^{4}

Simplify

(n^{8})^{4} : n^{32}

= 625 m^{24} n^{32}

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Frequently Asked Questions (FAQ)

What is (-5m^6n^8)^4 ?
The solution to (-5m^6n^8)^4 is 625m^{24}n^{32}