What is ((12x^5yz^{-2})/(4x^3y^5z^6))^{-2} ?

The solution to ((12x^5yz^{-2})/(4x^3y^5z^6))^{-2} is (y^8z^{16})/(9x^4)

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simplify ((12x^5yz^{-2})/(4x^3y^5z^6))^{-2}

simplify

(\frac{12 x ^{5} y z ^{- 2}}{4 x ^{3} y ^{5} z ^{6}})^{- 2}

\frac{y ^{8} z ^{16}}{9 x ^{4}}

Solution steps

(\frac{12 x ^{5} y z ^{- 2}}{4 x ^{3} y ^{5} z ^{6}})^{- 2}

Apply exponent rule:

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

(\frac{12 x ^{5} y z ^{- 2}}{4 x ^{3} y ^{5} z ^{6}})^{- 2} = \frac{1}{( \frac{12 x ^{5} y z ^{- 2}}{4 x ^{3} y ^{5} z ^{6}} ) ^{2}}

= \frac{1}{( \frac{12 x ^{5} y z ^{- 2}}{4 x ^{3} y ^{5} z ^{6}} ) ^{2}}

Simplify

(\frac{12 x ^{5} y z ^{- 2}}{4 x ^{3} y ^{5} z ^{6}})^{2} : \frac{9 x ^{4}}{y ^{8} z ^{16}}

= \frac{1}{\frac{9 x ^{4}}{y ^{8} z ^{16}}}

Apply the fraction rule:

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

= \frac{y ^{8} z ^{16}}{9 x ^{4}}

(- 3 - 8 i) (1 - 2 i)

(x - 9)^{3}

\frac{3 x ^{2}}{x ^{3}}

(2 a + 5) (2 a - 5)

\frac{39}{52}

What is ((12x^5yz^{-2})/(4x^3y^5z^6))^{-2} ?
The solution to ((12x^5yz^{-2})/(4x^3y^5z^6))^{-2} is (y^8z^{16})/(9x^4)