What is ((5c^7d^{-6})/(15d^6))^{-3} ?

The solution to ((5c^7d^{-6})/(15d^6))^{-3} is (27d^{36})/(c^{21)}

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simplify ((5c^7d^{-6})/(15d^6))^{-3}

simplify

(\frac{5 c ^{7} d ^{- 6}}{15 d ^{6}})^{- 3}

\frac{27 d ^{36}}{c ^{21}}

Solution steps

(\frac{5 c ^{7} d ^{- 6}}{15 d ^{6}})^{- 3}

Apply exponent rule:

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

(\frac{5 c ^{7} d ^{- 6}}{15 d ^{6}})^{- 3} = \frac{1}{( \frac{5 c ^{7} d ^{- 6}}{15 d ^{6}} ) ^{3}}

= \frac{1}{( \frac{5 c ^{7} d ^{- 6}}{15 d ^{6}} ) ^{3}}

Simplify

(\frac{5 c ^{7} d ^{- 6}}{15 d ^{6}})^{3} : \frac{c ^{21}}{27 d ^{36}}

= \frac{1}{\frac{c ^{21}}{27 d ^{36}}}

Apply the fraction rule:

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

= \frac{27 d ^{36}}{c ^{21}}

(y^{6} y^{7})^{7}

2 (a + b + 1) - x (a + b + 1) - (a + b + 1)

(3 x - 1)^{3} + (x - 4) 3^{4}

(m + 1)^{2} + 6

24 a^{3} b^{2} + 36 a^{2} b

What is ((5c^7d^{-6})/(15d^6))^{-3} ?
The solution to ((5c^7d^{-6})/(15d^6))^{-3} is (27d^{36})/(c^{21)}