展开 ((2x)/(y^2))^5

解答

展开

(\frac{2 x}{y ^{2}})^{5}

\frac{32 x ^{5}}{y ^{10}}

求解步骤

(\frac{2 x}{y ^{2}})^{5}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 x ) ^{5}}{( y ^{2} ) ^{5}}

(y^{2})^{5} : y^{10}

= \frac{( 2 x ) ^{5}}{y ^{10}}

使用指数法则:

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

(2 x)^{5} = 2^{5} x^{5}

= \frac{2 ^{5} x ^{5}}{y ^{10}}

2^{5} = 32

= \frac{32 x ^{5}}{y ^{10}}

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