化简下列代数式，并将结果写成正指数形式。

它不会直接告诉你答案，而是问你卡在哪一步看看 AI 是怎么陪你一步步弄懂这道题的

完整解法

1. Simplify the power of the bracket and the zero index term.

$(-a^2)^3 = (-1)^3(a^2)^3 = -a^6$

$b^0=1$ , so $4b^0=4$ .

2. Divide the simplified terms and write the answer with positive indices.

$(-a^2)^3 \div 4b^0 = -a^6 \div 4 = -\frac{a^6}{4}$

答案

$-\dfrac{a^6}{4}$

1. Expand the power of the first bracket using index laws.

$(a^{-1}b)^2=(a^{-1})^2b^2=a^{-2}b^2$

2. Rewrite the square root as a fractional index and combine powers of $b$, leaving positive indices.

$(\sqrt{b})^3=(b^{\frac12})^3=b^{\frac32}$

$a^{-2}b^2\times b^{\frac32}=a^{-2}b^{2+\frac32}=a^{-2}b^{\frac72}=\frac{b^{\frac72}}{a^2}$

答案

$\dfrac{b^{\frac{7}{2}}}{a^2}$

AI 分析，可能出错

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