What is (-4mn)^3*(-2m^2)^3 ?

The solution to (-4mn)^3*(-2m^2)^3 is 512m^9n^3

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simplify (-4mn)^3*(-2m^2)^3

simplify

(- 4 mn)^{3} \cdot (- 2 m^{2})^{3}

512 m^{9} n^{3}

Solution steps

(- 4 mn)^{3} (- 2 m^{2})^{3}

Simplify

(- 4 mn)^{3} : - 64 m^{3} n^{3}

= - 64 m^{3} n^{3} (- 2 m^{2})^{3}

Simplify

(- 2 m^{2})^{3} : - 8 m^{6}

= - 64 m^{3} n^{3} (- 8 m^{6})

Apply rule:

- a (- b) = ab

- 64 m^{3} n^{3} (- 8 m^{6}) = 64 m^{3} n^{3} \cdot 8 m^{6}

= 64 m^{3} n^{3} \cdot 8 m^{6}

Multiply the numbers:

64 \cdot 8 = 512

= 512 m^{3} n^{3} m^{6}

Simplify

m^{3} m^{6} : m^{9}

= 512 m^{9} n^{3}

\frac{2 π}{\frac{1}{7}}

\frac{5}{6} - \frac{1}{2} + 2 - \frac{1}{3}

\frac{33}{2} - \frac{33}{2 ( 1000 ) ^{2}}

\frac{x + 1}{x - 2} \geq 1

π \cdot \frac{1}{3}