How do you simplify (2 times 10^13)(3.6 times 10^-9)?

Mar 18, 2016

I found: $7.2 \times {10}^{4}$

Explanation:

We can separate the numbers and the powers of ten to write:
$= \left(2 \cdot 3.6\right) \times \left({10}^{13} \cdot {10}^{- 9}\right) =$
now we remember the property of the exponents:
${a}^{m} \cdot {a}^{n} = {a}^{m + n}$
and write:
$= 7.2 \times \left({10}^{13 + \left(- 9\right)}\right) = = 7.2 \times {10}^{4}$