Negative exponents and scientific notation

  • #1
holy cow i feel dumb....

i know these are super easy but i just can't figure it out.

1. --- (10^2)^8 divided by (10^-2)^3

2. --- 1.2x10^-6 divided by 4.2x10^-2

if anyone can give me a kick in the brain it would be awsome

1.--- 10^22?
2. -- 2.9x10^5??
 
Last edited:

Answers and Replies

  • #2
The first one is correct. The second is not (but only by a sign, typo ?). To check, multiply your quotient by the divisor to see if you get the dividend.
 
  • #3
CRGreathouse
Science Advisor
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[tex](10^2)^8\div(10^{-2})^3=10^{16}\div10^{-6}=10^{16}\cdot10^6=10^{22}[/tex]

[tex]1.2\cdot10^{-6}\div\left(4.2\cdot10^{-2}\right)= 1.2\cdot10^{-6}\cdot\frac{1}{4.2}\cdot10^2= \frac{1.2}{4.2}\cdot10^{-4}=\frac27\cdot10^{-4}\approx2.9\cdot10^{-5}[/tex]
 
  • #4
no it wasn't a typo...just dumb
thank you so much, it is amazing how fast you forget stupid things
 

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