SOLUTION: 1.(7x)^-2 divided by 7x^3 2. 8x10^3 divided by 8x10^2

Algebra ->  Exponents -> SOLUTION: 1.(7x)^-2 divided by 7x^3 2. 8x10^3 divided by 8x10^2      Log On


   

Question 978766: 1.(7x)^-2 divided by 7x^3
2. 8x10^3 divided by 8x10^2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1.(7x)^-2 divided by 7x^3
%287x%29%5E%28-2%29%2F%287x%5E3%29
Multiply NUM and DEN by (7x)^2
= 1%2F%28%287x%29%5E2%2A%287x%5E3%29%29
= 1%2F%2849x%5E2%2A7x%5E3%29
= 1%2F343x%5E5
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2. 8x10^3 divided by 8x10^2
8e3%2F8e2
Divide NUM and DEN by 8e2
= 1e1%2F1
= 1%2A10%5E1
= 10
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You might see suggestions about moving variables from NUM to DEN and vice versa and changing the sign, but it's not necessary to remember yet another "rule." Just treat fractions as fractions - do the same thing to the NUM and the DEN.
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8*10^3 = 8e3, etc
It's commonly used in programming and is easier to type.