SOLUTION: Perform the computation and write in scientific notation 9.10 -4(exponent) over 3.10 -6(exponent)

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Question 205182This question is from textbook Elementary and Intermediate Algebra
: Perform the computation and write in scientific notation
9.10 -4(exponent)
over
3.10 -6(exponent)
This question is from textbook Elementary and Intermediate Algebra

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Perform the computation and write in scientific notation
9.10 -4(exponent)
over
3.10 -6(exponent)
---------------------------
9.1^(-4)/3.1^(-6)
---
= 3.1^(6)/9.1^(4)
---
= 0.129421
---
=1.29421x10^-1
=========================
Cheers,
Stan H.

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

%289%2A10%5E-4%29%2F%283%2A10%5E-6%29%29
Let's divide the integers first: 9%2F3=3
Let's then divide the second parts: 10%5E-4%2F10%5E-6 = 10%5E%28-4--6%29 =
10%5E%28-4%2B6%29 = 10%5E2
We now have our answer as: highlight_green%283.0%2A10%5E2%29

Check:
9%2A10%5E-4 = 0.0009
3%2A10%5E-6 = 0.000003
Original problem: %289%2A10%5E-4%29%2F%283%2A10%5E-6%29%29 = .0009%2F.000003 = 300
Answer: 3.0%2A10%5E2%29 = 300