# How do you simplify (7.2 times 10^-4)div(1.8times10^3)?

$4 \cdot \frac{1}{10} ^ 7$ or $0.0000004$
$\frac{7.2 \cdot {10}^{-} 4}{1.8 \cdot {10}^{3}}$ can be broken down to $\frac{7.2}{1.8} \cdot {10}^{-} \frac{4}{10} ^ 3$. $\frac{7.2}{1.8}$ euqals $4$. Now we just need to deal with this awkward-looking fraction. If there is a negative exponent, that means it needs to change position, either from the numerator to the demoninator or vice versa. In this case, we need to bring ${10}^{4}$ brought down, giving us $\frac{1}{{10}^{3} \cdot {10}^{4}}$. We can simplify this is $\frac{1}{0} ^ 7$.
That gives us $4 \cdot \frac{1}{10} ^ 7$ or $4 \cdot {10}^{-} 7$. That gives us $0.0000004$.