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simplify $\sqrt[4]{64^{- 2}}$

Posted by Devarakonda Ramakrishna Rao 8 years, 11 months ago

CBSE > Class 09 > Mathematics

2 answers

Rashmi Bajpayee 8 years, 11 months ago

{(64)^-2}^1/4 = (64)^-2(1/4) = (64)^-1/2

= (8)^-1 = 1/8

1Thank You

Rashmi Bajpayee 8 years, 11 months ago

$\sqrt[4]{64^{- 2}}$ = $\sqrt[4]{{(\frac{1}{64})}^{2}} = {(\frac{1}{64})}^{2 \times \frac{1}{4}} = {(\frac{1}{64})}^{\frac{1}{2}}$

= $\frac{1}{8}$

0Thank You

ANSWER

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