What is (-6j^{-8})/(-2(j^{-3))^5} ?

The solution to (-6j^{-8})/(-2(j^{-3))^5} is 3j^7

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simplify (-6j^{-8})/(-2(j^{-3))^5}

simplify

\frac{- 6 j ^{- 8}}{- 2 ( j ^{- 3} ) ^{5}}

3 j^{7}

Solution steps

\frac{- 6 j ^{- 8}}{- 2 ( j ^{- 3} ) ^{5}}

Simplify

(j^{- 3})^{5} : \frac{1}{j ^{15}}

= \frac{- 6 j ^{- 8}}{- 2 \cdot \frac{1}{j ^{15}}}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{6 j ^{- 8}}{2 \cdot \frac{1}{j ^{15}}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3 j ^{- 8}}{2 \cdot \frac{1}{j ^{15}}}

Cancel the common factor:

2

= \frac{3 j ^{- 8}}{\frac{1}{j ^{15}}}

Simplify

\frac{3 j ^{- 8}}{\frac{1}{j ^{15}}} : 3 j^{7}

= 3 j^{7}

ab + c d - b d - a c

4 x - 2 > 20

z - 5 = z^{2} - 25

\frac{3 x - 1}{5 x ^{2} - 1} > - 3

2 y^{2} + 9 y - 5

What is (-6j^{-8})/(-2(j^{-3))^5} ?
The solution to (-6j^{-8})/(-2(j^{-3))^5} is 3j^7