What is (p^{-2}r^2c^3)^{-3} ?

The solution to (p^{-2}r^2c^3)^{-3} is (p^6)/(r^6c^9)

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simplify (p^{-2}r^2c^3)^{-3}

simplify

(p^{- 2} r^{2} c^{3})^{- 3}

\frac{p ^{6}}{r ^{6} c ^{9}}

Solution steps

(p^{- 2} r^{2} c^{3})^{- 3}

Apply exponent rule:

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

(p^{- 2} r^{2} c^{3})^{- 3} = \frac{1}{( p ^{- 2} r ^{2} c ^{3} ) ^{3}}

= \frac{1}{( p ^{- 2} r ^{2} c ^{3} ) ^{3}}

Simplify

(p^{- 2} r^{2} c^{3})^{3} : \frac{r ^{6} c ^{9}}{p ^{6}}

= \frac{1}{\frac{r ^{6} c ^{9}}{p ^{6}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{p ^{6}}{r ^{6} c ^{9}}

15 a^{2} + 8 x^{2} - 26 a x

(1 + x^{2})^{4}

\frac{50}{150}

18000

What is (p^{-2}r^2c^3)^{-3} ?
The solution to (p^{-2}r^2c^3)^{-3} is (p^6)/(r^6c^9)