What is (3x^{-3}*y^2*z^{-1})^3 ?

The solution to (3x^{-3}*y^2*z^{-1})^3 is (27y^6)/(x^9z^3)

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simplify (3x^{-3}y^2z^{-1})^3

simplify

(3 x^{- 3} \cdot y^{2} \cdot z^{- 1})^{3}

\frac{27 y ^{6}}{x ^{9} z ^{3}}

Solution steps

(3 x^{- 3} y^{2} z^{- 1})^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 x^{- 3} y^{2} z^{- 1})^{3} = 3^{3} (x^{- 3})^{3} (y^{2})^{3} (z^{- 1})^{3}

= 3^{3} (x^{- 3})^{3} (y^{2})^{3} (z^{- 1})^{3}

3^{3} = 27

= 27 (x^{- 3})^{3} (y^{2})^{3} (z^{- 1})^{3}

Simplify

(x^{- 3})^{3} : \frac{1}{x ^{9}}

= 27 \cdot \frac{1}{x ^{9}} (y^{2})^{3} (z^{- 1})^{3}

Simplify

(y^{2})^{3} : y^{6}

= 27 \cdot \frac{1}{x ^{9}} y^{6} (z^{- 1})^{3}

Simplify

(z^{- 1})^{3} : \frac{1}{z ^{3}}

= 27 \cdot \frac{1}{x ^{9}} y^{6} \frac{1}{z ^{3}}

Simplify

27 \cdot \frac{1}{x ^{9}} y^{6} \frac{1}{z ^{3}} : \frac{27 y ^{6}}{x ^{9} z ^{3}}

= \frac{27 y ^{6}}{x ^{9} z ^{3}}

\frac{8 ^{3^{4 n}} + 3}{11}

(9 x^{2} y) \cdot (- 4 x^{3})

49 x^{2} - 25 y^{2} + 10 y - 1

(3 + p)^{3}

a^{4} b^{4} - 16 c^{4}

What is (3x^{-3}*y^2*z^{-1})^3 ?
The solution to (3x^{-3}*y^2*z^{-1})^3 is (27y^6)/(x^9z^3)