What is (-(3n)/(18n^2))^{-18}*(-6n)^{-15} ?

The solution to (-(3n)/(18n^2))^{-18}*(-6n)^{-15} is -216n^3

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simplify (-(3n)/(18n^2))^{-18}*(-6n)^{-15}

simplify

(- \frac{3 n}{18 n ^{2}})^{- 18} \cdot (- 6 n)^{- 15}

- 216 n^{3}

Solution steps

(- \frac{3 n}{18 n ^{2}})^{- 18} (- 6 n)^{- 15}

Simplify

(- \frac{3 n}{18 n ^{2}})^{- 18} : 1.0156 E 14 n^{18}

= 1.0156 E 14 n^{18} (- 6 n)^{- 15}

Simplify

(- 6 n)^{- 15} : - \frac{1}{6 ^{15} n ^{15}}

= 1.0156 E 14 n^{18} (- \frac{1}{6 ^{15} n ^{15}})

Apply rule:

a (- b) = - ab

1.0156 E 14 n^{18} (- \frac{1}{6 ^{15} n ^{15}}) = - 1.0156 E 14 n^{18} \frac{1}{6 ^{15} n ^{15}}

= - 1.0156 E 14 n^{18} \frac{1}{6 ^{15} n ^{15}}

Apply the fraction rule:

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

= - \frac{1.0156 E 14 n ^{18} \cdot 1}{6 ^{15} n ^{15}}

Multiply the numbers:

1.0156 E 14 \cdot 1 = 1.0156 E 14

= - \frac{1.0156 E 14 n ^{18}}{6 ^{15} n ^{15}}

Factor the number:

1.0156 E 14 = 6^{18}

= - \frac{6 ^{18} n ^{18}}{6 ^{15} n ^{15}}

\frac{6 ^{18}}{6 ^{15}} = 6^{3}

= - \frac{6 ^{3} n ^{18}}{n ^{15}}

Simplify

\frac{n ^{18}}{n ^{15}} : n^{3}

= - 6^{3} n^{3}

6^{3} = 216

= - 216 n^{3}

4.8 \cdot 1 0^{- 4}

\frac{1}{2} \cdot 5.89 \cdot 1 0^{- 3} \cdot 243.77 \cdot 0.5888

3 t (3 t^{2})

(1 - x^{2})^{- 2}

What is (-(3n)/(18n^2))^{-18}*(-6n)^{-15} ?
The solution to (-(3n)/(18n^2))^{-18}*(-6n)^{-15} is -216n^3