Question
Express $\frac{1.5\times10^6}{2.5\times10^{-4}}$ in the standard form.
✓
Answer
Given,
$\frac{1.5\times10^6}{2.5\times10^{-4}}=\frac{15}{25}\times10^{6+4}$ [$\because$ $a^m÷ a^n= (a)^{m-n}$]
$=\frac{3}{5}\times10^{10}$
$=0.6\times10^{10}$
$=0.6\times10^{10}\times10^{-1}$
$=6\times10^9$ [$\because$ $a^m× a^n= (a)^{m-n}$]
$\frac{1.5\times10^6}{2.5\times10^{-4}}=\frac{15}{25}\times10^{6+4}$ [$\because$ $a^m÷ a^n= (a)^{m-n}$]
$=\frac{3}{5}\times10^{10}$
$=0.6\times10^{10}$
$=0.6\times10^{10}\times10^{-1}$
$=6\times10^9$ [$\because$ $a^m× a^n= (a)^{m-n}$]
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