Math, asked by Taniapannu, 1 year ago

evaluate (0.000064) power 5/6

Answers

Answered by ArchitectSethRollins
178
Hi friend
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Your answer
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★ EVALUATION : -
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(0.000064) {}^{ \frac{5}{6} }  \\  \\  =  >  (\frac{64}{1000000} )  {}^{ \frac{5}{6} }  \\  \\  =  > ( \frac{2}{10} ) {}^{ 6 \times \frac{5}{6} }  \\  \\  =  > ( \frac{2}{10} ) {}^{5}  \\  \\  =  >  \frac{32}{100000} \\  \\  =  > 0.000 32
HOPE IT HELPS
Answered by Qwparis
9

The correct answer is 0.00032.

Given: The equation = (0.000064)^{\frac{5}{6} }.

To Find: Evaluate the equation.

Solution:

(0.000064)^{\frac{5}{6} }

= (0.000064)^{\frac{1}{6}*5 }

= (\frac{64}{1000000} )^{\frac{1}{6}*5 }

= (\frac{2^{6} }{10^{6} } )^{\frac{1}{6}*5 }

= (\frac{2 }{10 } )^{\frac{1}{6}*6*5 }

= (\frac{2 }{10 } )^5

= (\frac{2^{5}  }{10 ^{5} } )

= \frac{32}{100000}

= 0.00032

Hence, the answer is 0.00032.

#SPJ2

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