Question

Find the simplified form of the expression. Give your answer in scientific notation.

Answer 1

what is the expression?

Answer 2

hold on

Answer 3

(3*10 -6 is above the 10)(6*10 -8 is above the 10)

Answer 4

\(\dfrac{3 \cdot 10^{-6}}{6 \cdot 10^{-8}}\)

Answer 5

You can split it up into \(\dfrac{3}{6} \cdot \dfrac{10^{-6}}{10^{-8}}\)

Answer 6

You know what the outcome of 3/6 is.
The other part: you have to divide two powers of 10.
You can apply the rule: \(\dfrac{a^b}{a^c}=a^{b-c}\)
So this would give you: \(0.5 \cdot 10^{-6-(-8)}\).
Try to simplify.

Answer 7

If you found that is is \(0.5 \cdot 10^{2}\), you're almost done!
Remember, in scientific notation: \(a \cdot 10^{b}\), \(1 \le a<10\).