# How do you simplify (9 times 10^2)(2 times 10^10) and write the answer in scientific notation?

Jan 15, 2016

$1.8 \times {10}^{13}$

#### Explanation:

using : ${a}^{m} \times {a}^{n} = {a}^{m + n}$

then $\left(9 \times {10}^{2}\right) \left(2 \times {10}^{10}\right)$

can be written : 9 $\times 2 \times {10}^{2} \times {10}^{10} = 18 \times {10}^{12}$

now( 18 = 1.8 xx 10 = 1.8 xx 10^1)

$\Rightarrow 18 \times {10}^{12} = 1.8 \times {10}^{1} \times {10}^{12} = 1.8 \times {10}^{13}$