What is (-18m^2n)^2(-1/6 mn^2) ?

The solution to (-18m^2n)^2(-1/6 mn^2) is -54m^5n^4

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simplify (-18m^2n)^2(-1/6 mn^2)

simplify

(- 18 m^{2} n)^{2} (- \frac{1}{6} m n^{2})

- 54 m^{5} n^{4}

Solution steps

(- 18 m^{2} n)^{2} (- \frac{1}{6} m n^{2})

Apply rule:

a (- b) = - ab

(- 18 m^{2} n)^{2} (- \frac{1}{6} m n^{2}) = - (- 18 m^{2} n)^{2} \frac{1}{6} m n^{2}

= - (- 18 m^{2} n)^{2} \frac{1}{6} m n^{2}

= - \frac{1}{6} m (- 18 m^{2} n)^{2} n^{2}

Simplify

(- 18 m^{2} n)^{2} : 324 m^{4} n^{2}

= - \frac{1}{6} m \cdot 324 m^{4} n^{2} n^{2}

Simplify

m m^{4} : m^{5}

= - \frac{1}{6} m^{5} \cdot 324 n^{2} n^{2}

Simplify

n^{2} n^{2} : n^{4}

= - \frac{1}{6} m^{5} \cdot 324 n^{4}

= - \frac{1}{6} \cdot 324 m^{5} n^{4}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot 324 m ^{5} n ^{4}}{6}

Multiply the numbers:

1 \cdot 324 = 324

= - \frac{324 m ^{5} n ^{4}}{6}

Divide the numbers:

\frac{324}{6} = 54

= - 54 m^{5} n^{4}

(\frac{64}{25})^{- \frac{1}{2}}

\frac{9 ^{12}}{9 ^{8}}

\frac{( 3 x - 5 )}{2} + \frac{( 8 x - 12 )}{7} = 9

(- 11)^{- 1}

\frac{1}{8} + 0.5 \cdot 16

What is (-18m^2n)^2(-1/6 mn^2) ?
The solution to (-18m^2n)^2(-1/6 mn^2) is -54m^5n^4