Question

Express the product of $3.2\times {10}^6$ and $4.1\times {10}^{-1}$ in the standard form.

Answer 1

Product of $3.2\times {10}^6$ and $4.1\times {10}^{-1}$
$=(3.2\times {10}^6)(4.1\times {10}^{-1})=(3.2\times 4.1)\times {10}^6\times {10}^{-1}=13.12\times {10}^5[\because a^m\times a^n=a^{m+n}]=1.312\times {10}^5\times {10}^1=1.312\times {10}^6$