# How do you multiply (3.3 × 10^4) *(3 × 10^18)?

Apr 10, 2015

Regroup your terms and use the rule for multiplying common based exponents: ${b}^{p} \times {b}^{q} = {b}^{p + q}$

Regrouping:
$\left(3.3 \times {10}^{4}\right) \cdot \left(3 \times {10}^{18}\right)$
becomes
$\left(3.3 \times 3\right) \cdot \left({10}^{4} \times {10}^{18}\right)$

$= 9.9 \times {10}^{22}$