What is ((-p)/(16p^{-3)})*(48p^{-4}) ?

The solution to ((-p)/(16p^{-3)})*(48p^{-4}) is -3

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simplify ((-p)/(16p^{-3)})*(48p^{-4})

simplify

(\frac{- p}{16 p ^{- 3}}) \cdot (48 p^{- 4})

- 3

Solution steps

(\frac{- p}{16 p ^{- 3}}) (48 p^{- 4})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 48 \cdot \frac{- p}{16 p ^{- 3}} \cdot \frac{1}{p ^{4}}

\frac{- p}{16 p ^{- 3}} = - \frac{p ^{4}}{16}

= - 48 \cdot \frac{1}{p ^{4}} \cdot \frac{p ^{4}}{16}

Multiply fractions:

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

= - \frac{p ^{4} \cdot 1 \cdot 48}{16 p ^{4}}

Cancel the common factor:

p^{4}

= - \frac{1 \cdot 48}{16}

Multiply the numbers:

1 \cdot 48 = 48

= - \frac{48}{16}

Divide the numbers:

\frac{48}{16} = 3

= - 3

- 0.5 \cdot 1^{- 1.5} \cdot 1^{0.5}

e^{t} \cdot e^{z}

e^{- (x^{2} - l n ∣ x ∣ + C)}

3 x (x e^{x})

(x) \cdot (y)

What is ((-p)/(16p^{-3)})*(48p^{-4}) ?
The solution to ((-p)/(16p^{-3)})*(48p^{-4}) is -3