# How do you simplify (4.5times10^4)(3times10^8) in scientific notation?

Dec 2, 2015

$1.35 \cdot {10}^{13}$

#### Explanation:

Multiply the numeric part: $4.5 \cdot 3 = 13.5$
Multiply the powers of ten: ${10}^{4} \cdot {10}^{8} = {10}^{12}$

So, the result is $13.5 \cdot {10}^{12}$. To convert it to scientific notation, observe that

$13.5 = 1.35 \cdot 10$

and thus the result becomes

$13.5 \cdot {10}^{12} = 1.35 \cdot 10 \cdot {10}^{12} = 1.35 \cdot {10}^{13}$