![(-64) ^ \frac{-2}{3} =(-1* 2^{6} ) ^ \frac{-2}{3}=(-1)^ \frac{-2}{3} *(2^{6} ) ^ \frac{-2}{3} \\\\x^{-a} = \frac{1}{ x^{a} } \\\\(-1)^ \frac{-2}{3} *(2^{6} ) ^ \frac{-2}{3} = \frac{1}{(-1)^ \frac{2}{3}} *\frac{1}{(2^{6})^ \frac{2}{3}} \\ \\ (x^{a} )^{b}=x^{a*b} \\\\x^{ \frac{a}{b} = \sqrt[b]{ x^{a} } } \\ \\ ](/tpl/images/0197/9833/23a24.png)
![\frac{1}{(-1)^ \frac{2}{3}} *\frac{1}{2^{6*\frac{2}{3}}} = \frac{1}{ \sqrt[3]{(-1)^{2} } } * \frac{1}{ 2^{4} } = \frac{1}{ \sqrt[3]{1} } * \frac{1}{16} = \frac{1}{1} * \frac{1}{16}= \frac{1}{16}](/tpl/images/0197/9833/b8182.png)
Simplify each expression. assume that all variables are positive.
1)
(16x5y10/81xy2)3/4...
Mathematics, 26.08.2019 02:00 maddietomlinson113
Simplify each expression. assume that all variables are positive.
1)
(16x5y10/81xy2)3/4
2)
(−64)−2/3
3)
a2/3×a1/2
Answers: 1
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