Math, asked by kajalnirmal01999, 7 months ago

square root of 5th power of 121. write in the form of rational indices please explain​

Answers

Answered by mysticd
0

 Square \: root \: of \: 5^{th} \: power \: of \: 121

 = \sqrt{\sqrt[5] { 121}}

 = \sqrt[2 \times 5 ] { 11^{2}}

 = \sqrt[10] { 11^{2}}

 = ( 11^{2})^{\frac{1}{10}}

 = 11^{2 \times \frac{1}{10}}

 = 11^{\frac{1}{5}}

Therefore.,

 \red{Square \: root \: of \: 5^{th} \: power \: of \: 121}

 \green {= 11^{\frac{1}{5}}}

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