5^{1/4}\times(125)^{0.25} is equal to

NIFT UG 2010 Question Paper with solutions

Question : 131 of 149

Marks: +1, -0

5^{1/4}×(125)^{0.25}

is equal to

Solution:

5^{1/4}×(125)^{0.25}

⇒5^{1/4}×(5^{3})^{25/100}

⇒5^{1/4}×5^{3×1/4}

⇒5^{1/4}×5^{3/4}=5

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