Math, asked by 184104, 4 months ago

Simplify:- 1/(³√4^-5). ​

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Answered by Subham200813
4

Step-by-step explanation:

 \frac{1}{ \sqrt[3]{ {4}^{ - 5} } }

 =  \frac{1}{ \sqrt[3]{ \frac{1}{ {4}^{5} } } }

 =  \frac{ \frac{1}{1} }{ \sqrt[3]{ {4}^{5} } }

 =  \frac{1}{ \sqrt[3]{ {4}^{5} } }

 converting \: into \: radical \: expression

 = 4  \sqrt[3]{ {4}^{2} }

 = 4 \sqrt[3]{16}

  simplifying \: radical \: expression\\ = 8 \sqrt[3]{16}

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