# How do you evaluate (1.035times10^8)/(2.3times10^4)?

May 27, 2017

$4500$

#### Explanation:

Attempt to evaluate the expression separately.
$\frac{1.035 \cdot {10}^{8}}{2.3 \cdot {10}^{4}}$

is the same as

$\frac{1.035}{2.3} \cdot {10}^{8} / {10}^{4}$

Solve the number part first.

$0.45 \cdot {10}^{8} / {10}^{4}$

Now, dividing a power is the same as subtracting the powers.
I.e. ${a}^{8} - {a}^{3} = {a}^{8 - 3} = {a}^{5}$

$\therefore 0.45 \cdot {10}^{8 - 4}$

$0.45 \cdot {10}^{4}$

$4500$