Medium
Perform the following calculations for the given exponential numbers:
$(i)$ $(6.7 \times 10^4) \times (8.4 \times 10^7)$
$(ii)$ $\frac{(3.4 \times 10^{-3})}{(6.5 \times 10^{-7})}$
$(i)$ $(6.7 \times 10^4) \times (8.4 \times 10^7)$
$(ii)$ $\frac{(3.4 \times 10^{-3})}{(6.5 \times 10^{-7})}$
$(i)$ $(6.7 \times 10^4) \times (8.4 \times 10^7) = (6.7 \times 8.4) \times (10^{4+7})$
$= 56.28 \times 10^{11}$
$= 5.628 \times 10^{12}$
$(ii)$ $\frac{(3.4 \times 10^{-3})}{(6.5 \times 10^{-7})} = (3.4 \div 6.5) \times (10^{-3 - (-7)})$
$= 0.5230 \times 10^4$
$= 5.230 \times 10^3$
$= 56.28 \times 10^{11}$
$= 5.628 \times 10^{12}$
$(ii)$ $\frac{(3.4 \times 10^{-3})}{(6.5 \times 10^{-7})} = (3.4 \div 6.5) \times (10^{-3 - (-7)})$
$= 0.5230 \times 10^4$
$= 5.230 \times 10^3$
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