What is (-0.6m^3n^2)^3 ?

The solution to (-0.6m^3n^2)^3 is -0.216m^9n^6

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simplify (-0.6m^3n^2)^3

simplify

(- 0.6 m^{3} n^{2})^{3}

- 0.216 m^{9} n^{6}

Solution steps

(- 0.6 m^{3} n^{2})^{3}

Apply exponent rule:

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

n

is odd

(- 0.6 m^{3} n^{2})^{3} = - (0.6 m^{3} n^{2})^{3}

= - (0.6 m^{3} n^{2})^{3}

Apply exponent rule:

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

(0.6 m^{3} n^{2})^{3} = 0. 6^{3} (m^{3})^{3} (n^{2})^{3}

= - 0. 6^{3} (m^{3})^{3} (n^{2})^{3}

0. 6^{3} = 0.216

= - 0.216 (m^{3})^{3} (n^{2})^{3}

Simplify

(m^{3})^{3} : m^{9}

= - 0.216 m^{9} (n^{2})^{3}

Simplify

(n^{2})^{3} : n^{6}

= - 0.216 m^{9} n^{6}

\frac{800}{3}

\frac{2}{x - 2} + \frac{x}{x + 9} - \frac{x + 20}{x ^{2} + 7 x - 18}

- 2 x + 6 x - 11 x

245 a b^{5}

\frac{5 !}{( 5 - 4 ) !}