Simplification of Exponential Expression
Published:
$$9 \cdot 10^9 \frac{2 \cdot 10^{-6} \cdot 4 \cdot 10^{-4}}{6}$$
Animated Video Solution
The first half plays free, the full solution is in the app.
Step by Step Written Solution
Let's solve this expression involving numbers written in scientific notation. We have nine times ten to the ninth, multiplied by two times ten to the negative sixth, and four times ten to the negative fourth, all divided by six.
Simplifying Scientific Notation
To make this easier, let's group all the numeric coefficients together and all the powers of ten together.
Now, let's simplify the coefficients. In the numerator, nine multiplied by two is eighteen, and eighteen times four is seventy-two.
Dividing seventy-two by six gives us twelve. So, the coefficient part of our answer is twelve.
Next, let's tackle the powers of ten. When multiplying powers with the same base, we simply add the exponents together.
The rest of this solution is on Solvi
4 more steps are locked. Watch the full animated, narrated solution for free.
Snap a photo, solve any question like this.
Watch the Rest for FreeFree to download · First solutions are on us