# How do you write the answer in scientific notation given #(6.1times10^5)(2.2times10^6)?

Jun 15, 2017

$1.342 \times {10}^{12}$

#### Explanation:

$\left(6.1 \times {10}^{5}\right) \left(2.2 \times {10}^{6}\right)$

First, rewrite it so like terms are next to each other.

$6.1 \times 2.2 \times {10}^{5} \times {10}^{6}$

Next, multiply the two numbers

$13.42 \times {10}^{5} \times {10}^{6}$

Next, add the exponents base $10$ units

$13.42 \times {10}^{5 + 6}$

$13.42 \times {10}^{11}$

Finally, move the decimal over one to the left and increase the power by one

$1.342 \times {10}^{12}$