Simplify (0.00000625)to the power -3/4 Answer …
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Rashmi Bajpayee 8 years, 3 months ago
{tex}{\left( {0.00000625} \right)^{{-3 \over 4}}}{/tex}
= {tex}{\left( {{{625} \over {{{10}^8}}}} \right)^{{-3 \over 4}}}{/tex}
= {tex}{\left( {{{{10^8}} \over {{{5}^4}}}} \right)^{{3 \over 4}}}{/tex}
= {tex}{{{10^{8 \times {3 \over 4}}}} \over {{{5}^{4 \times {3 \over 4}}}}}{/tex}
= {tex}{{{10^6}} \over {{{5}^3}}}{/tex}
= {tex}{{1000000} \over {125}}{/tex}
= 8000
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