What is ((-2r^3)^5)/(10r^{-3)} ?

The solution to ((-2r^3)^5)/(10r^{-3)} is -(16r^{18})/5

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simplify ((-2r^3)^5)/(10r^{-3)}

simplify

\frac{( - 2 r ^{3} ) ^{5}}{10 r ^{- 3}}

- \frac{16 r ^{18}}{5}

Solution steps

\frac{( - 2 r ^{3} ) ^{5}}{10 r ^{- 3}}

Apply exponent rule:

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

n

is odd

(- 2 r^{3})^{5} = - (2 r^{3})^{5}

= \frac{- ( 2 r ^{3} ) ^{5}}{10 r ^{- 3}}

Simplify

(2 r^{3})^{5} : 2^{5} r^{15}

= \frac{- 2 ^{5} r ^{15}}{10 r ^{- 3}}

Factor the number:

10 = 2 \cdot 5

= \frac{- 2 ^{5} r ^{15}}{2 \cdot 5 r ^{- 3}}

\frac{2 ^{5}}{2} = 2^{4}

= \frac{- 2 ^{4} r ^{15}}{5 r ^{- 3}}

Simplify

\frac{r ^{15}}{r ^{- 3}} : r^{18}

= \frac{- 2 ^{4} r ^{18}}{5}

Simplify

\frac{- 2 ^{4} r ^{18}}{5} : - \frac{16 r ^{18}}{5}

= - \frac{16 r ^{18}}{5}

(2 m + 5 n)^{3}

90 \cdot 4

\frac{2}{3} y - \frac{1}{4} y

- \frac{1}{2} \times (- \frac{1}{2})

lo g_{10} (1 0^{14})

What is ((-2r^3)^5)/(10r^{-3)} ?
The solution to ((-2r^3)^5)/(10r^{-3)} is -(16r^{18})/5