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Popular >

simplify (-3m^3n^4)^4

Solution

simplify

(- 3 m^{3} n^{4})^{4}

Solution

81 m^{12} n^{16}

Solution steps

(- 3 m^{3} n^{4})^{4}

Apply exponent rule:

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

if

n

is even

(- 3 m^{3} n^{4})^{4} = (3 m^{3} n^{4})^{4}

= (3 m^{3} n^{4})^{4}

Apply exponent rule:

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

(3 m^{3} n^{4})^{4} = 3^{4} (m^{3})^{4} (n^{4})^{4}

= 3^{4} (m^{3})^{4} (n^{4})^{4}

3^{4} = 81

= 81 (m^{3})^{4} (n^{4})^{4}

Simplify

(m^{3})^{4} : m^{12}

= 81 m^{12} (n^{4})^{4}

Simplify

(n^{4})^{4} : n^{16}

= 81 m^{12} n^{16}

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Frequently Asked Questions (FAQ)

What is (-3m^3n^4)^4 ?
The solution to (-3m^3n^4)^4 is 81m^{12}n^{16}