(1)\;\frac{(-2)³×4³×6⁴}{-12⁵}

=\frac{-2³×2⁶×6⁴}{-2⁵×6⁵}

=\frac{2⁴}{6}

=\frac{8}{3}

(2)\;(\frac{81}{16})^{-0.25}×(\frac{8}{27})^{-\frac{2}{3}}×(0.25)^{-0.5}

=((\frac{3}{2})⁴)^{-\;\frac{1}{4}}×((\frac{2}{3})³)^{-\;\frac{2}{3}}×((\frac{1}{2})²)^{-\;0.5}

=\frac{2}{3}×\frac{9}{4}×2

=3

整數指數練習

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 整數指數\
(1)\;若a≠0,則：\;a^0=1\
(2)\;若a≠0且n∈N,則：\;a^{-n}=\frac{1}{a^n}

(2)\;[3a²·(a⁵·a^{-5})]^4,\;(其中\;a≠0)

原式=[3a²·(a^{5-5})]⁴

=(3a²·a^0)⁴

=(3a²)⁴

=81a⁸

有理指數\
若\;a>0\;，\;且\;m∈Z,\;n>1，\;則：\
(1)\;a^{\frac{1}{n}}=\sqrt[n]{a}\
(2)\;a^{\frac{m}{n}}=(\sqrt[n]{a})^m

(1)\;[(0.0625)^\frac{3}{4}+25·2^{-3}-5^0]^{\frac{1}{2}}

=[((0.5)⁴)^\frac{3}{4}+25·\frac{1}{8}-1]^\frac{1}{2}

=[0.125+\frac{17}{8}]^\frac{1}{2}

=(\frac{1}{8}+\frac{17}{8})^\frac{1}{2}

=(\frac{9}{4})^\frac{1}{2}

=\frac{3}{2}

s = 0 (slider from 0 to 20, step 1)
A = (-3.1286, 4.78041)