化简 (3x^3*y^{-3})^2

解答

化简

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

\frac{9 x ^{6}}{y ^{6}}

求解步骤

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

使用指数法则:

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

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

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

3^{2} = 9

= 9 (x^{3})^{2} (y^{- 3})^{2}

化简

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

= 9 x^{6} (y^{- 3})^{2}

化简

(y^{- 3})^{2} : \frac{1}{y ^{6}}

= 9 x^{6} \frac{1}{y ^{6}}

化简

9 x^{6} \frac{1}{y ^{6}} : \frac{9 x ^{6}}{y ^{6}}

= \frac{9 x ^{6}}{y ^{6}}

s im pl i f y 893.4 \cdot 8.51969 - 8218 x

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f a c t or - (6 x) - 2