# What is the value of n in the equation 2.3times10^9=(1times10^3)(2.3times10^n)?

Dec 5, 2016

$n = 6$

#### Explanation:

According to the law of exponents, when you multiply two exponents together, you must add them.
$9 - 3 = 6$, so 6 is equal to n.

To check your answer, simply multiply $2.3 \left(1\right) {10}^{6} \left({10}^{3}\right)$, which equals $2.3 \left({10}^{9}\right)$.

Sorry if this isn't the best explanation. I'm about to fall asleep. :|