![\dfrac{1}{( \sqrt[3]{8p^6})^4} = ( \sqrt[3]{8p^6})^{-4} = ( (8p^6)^{\frac 1 3})^{-4} =(8^{\frac 1 3})^{-4} p^{(6(-4)/3)} = 2^{-4} p^{-8} = \dfrac{1}{16p^8}](/tpl/images/0575/2385/b72aa.png)
![\frac{1}{(\sqrt[3]{(8p^{6})^{4} } } \\ \\ = \frac{1}{(\sqrt[3]{ ({2}^{3} p^{6})^{4} } } \\ \\ = \frac{1}{(\sqrt[3]{ ({2}^{3 \times 4} p^{6 \times 4}) } }\\ \\ = \frac{1}{(\sqrt[3]{ ({2}^{12} \times p^{24}) } } \\ \\ = \frac{1}{({ {2}^{12 \times \frac{1}{3} } \times p^{24 \times \frac{1}{3} }) } } \\ \\ = \frac{1}{({ {2}^{4} \times p^{8 }) } } \\ \\ \purple{ \boxed{ \bold{ \therefore \: \frac{1}{(\sqrt[3]{(8p^{6})^{4} } } = \frac{1}{{16 p^{8 } } }}}}](/tpl/images/0575/2385/76369.png)
Simplify the expression
An explanation will be greatly appreciated...
Mathematics, 01.04.2020 09:44 philyshahill
Simplify the expression
An explanation will be greatly appreciated
Answers: 2
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