How do you multiply 40.1*1.6*10^(-24)?

Mar 29, 2015

The answer is $6.416 \cdot {10}^{-} 23$

Given: $40.1 \cdot 1.6 \cdot {10}^{-} 24$

Start by multiplying together the first two since they are not powers of ten:
$\textcolor{red}{64.16} \cdot {10}^{-} 24$

We can reexpress $64.16$ as $6.416 \cdot {10}^{1}$
$6.416 \cdot {10}^{1} \cdot {10}^{-} 24$

Multiplying exponents of the same base allows you to add the exponents:
$6.416 \cdot {10}^{1 - 24}$
$6.416 \cdot {10}^{-} 23$ Final Answer

I hope that was helpful.