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Simplify (0.00000625)to the power -3/4 Answer …

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Simplify (0.00000625)to the power -3/4 Answer 8000(how)

Posted by Aman Raj 7 years, 10 months ago

CBSE > Class 08 > Mathematics

1 answers

Rashmi Bajpayee 7 years, 10 months ago

${\left( {0.00000625} \right)^{{-3 \over 4}}}$

= ${\left( {{{625} \over {{{10}^8}}}} \right)^{{-3 \over 4}}}$

= ${\left( {{{{10^8}} \over {{{5}^4}}}} \right)^{{3 \over 4}}}$

= ${{{10^{8 \times {3 \over 4}}}} \over {{{5}^{4 \times {3 \over 4}}}}}$

= ${{{10^6}} \over {{{5}^3}}}$

= ${{1000000} \over {125}}$

= 8000

1Thank You

ANSWER

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CBSE > Class 08 > Mathematics