What is (pq^{-3}r^{-4})/(3v^{-5)} ?

The solution to (pq^{-3}r^{-4})/(3v^{-5)} is (pv^5)/(3q^3r^4)

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simplify (pq^{-3}r^{-4})/(3v^{-5)}

simplify

\frac{p q ^{- 3} r ^{- 4}}{3 v ^{- 5}}

\frac{p v ^{5}}{3 q ^{3} r ^{4}}

Solution steps

\frac{p q ^{- 3} r ^{- 4}}{3 v ^{- 5}}

Simplify

p q^{- 3} r^{- 4} : \frac{p}{q ^{3} r ^{4}}

= \frac{\frac{p}{q ^{3} r ^{4}}}{3 v ^{- 5}}

Apply the fraction rule:

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

= \frac{p}{q ^{3} r ^{4} \cdot 3 v ^{- 5}}

Simplify

q^{3} r^{4} \cdot 3 v^{- 5} : \frac{3 q ^{3} r ^{4}}{v ^{5}}

= \frac{p}{\frac{3 q ^{3} r ^{4}}{v ^{5}}}

Apply the fraction rule:

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

= \frac{p v ^{5}}{3 q ^{3} r ^{4}}

(\frac{a ^{2 x}}{a ^{3}})^{3}

- 14 + (- 6)

(3 x + 3) + (8 x + 7)

x (x + 3) (x - 4)

(- 4) - 2

What is (pq^{-3}r^{-4})/(3v^{-5)} ?
The solution to (pq^{-3}r^{-4})/(3v^{-5)} is (pv^5)/(3q^3r^4)