展开 p^{1/5}(p^{4/5}+4p^{9/5})

解答

展开

p^{\frac{1}{5}} (p^{\frac{4}{5}} + 4 p^{\frac{9}{5}})

p + 4 p^{2}

求解步骤

p^{\frac{1}{5}} (p^{\frac{4}{5}} + 4 p^{\frac{9}{5}})

使用分配律:

a (b + c) = ab + a c

p^{\frac{1}{5}} (p^{\frac{4}{5}} + 4 p^{\frac{9}{5}}) = p^{\frac{1}{5}} p^{\frac{4}{5}} + p^{\frac{1}{5}} \cdot 4 p^{\frac{9}{5}}

= p^{\frac{1}{5}} p^{\frac{4}{5}} + p^{\frac{1}{5}} \cdot 4 p^{\frac{9}{5}}

p^{\frac{1}{5}} p^{\frac{4}{5}} = p

p^{\frac{1}{5}} \cdot 4 p^{\frac{9}{5}} = 4 p^{2}

= p + 4 p^{2}

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