1. ## Multipying exponents

Given:

(1.5*10^-14) * (3.8394*10^10) / (2.45)

How can I find the answer to this question and record it in exponential notation?

(to two sig figs)

2. Originally Posted by hemi
Given:

(1.5*10^-14) * (3.8394*10^10) / (2.45)

How can I find the answer to this question and record it in exponential notation?

(to two sig figs)

$\displaystyle a^b \times a^c = a^{b+c}$

3. Originally Posted by hemi
Given:

(1.5*10^-14) * (3.8394*10^10) / (2.45)

How can I find the answer to this question and record it in exponential notation?

(to two sig figs)
Start by doing it as two separate problems: $\displaystyle \frac{(1.5)(3.8394)}{2.45}$ and $\displaystyle (10^{-14})(10^{10})$. The first is "ordinary arithmetic" and for the second, as e^(i*pi) says, you add the exponents: $10^{-14+ 10}$.

If the result of [tex]\frac{(1.5)(3.8394)}{2.45}[/itex] is not between 1 and 10, change it also into "scientific notation" and add the exponent to what you got for the second expression. Don't forget to reduce to two signifcant figures.