anonymous
  • anonymous
Simplify as far as possible
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\frac{ 10^{-7} \times 10^{3}}{10^{2} }\]
whpalmer4
  • whpalmer4
Okay, two things to remember: When you have exponents with the same base: \[x^n*x*m = x^{n+m}\] \[\frac{x^n}{x^m} = x^{n-m}\] With those two formulas, you can simplify that to \(10^n\) where \(n\) is some number.
whpalmer4
  • whpalmer4
Ackthpht. \[x^n*x^m = x^{n+m}\]

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anonymous
  • anonymous
Ok so the answer is 10^2 thanks for the help whpalmer it is much appreciated!
whpalmer4
  • whpalmer4
Oh, it appears I didn't help as much as I could have...that's not the right answer :-( What does \(10^{-7}*10^3 =\)
anonymous
  • anonymous
ah 10^-3 so the answer is 10^-5?
whpalmer4
  • whpalmer4
No guessing, let's get this right. \[10^{-7}*10^{3} = 10^{-7+3} = \]
whpalmer4
  • whpalmer4
Identical bases, you just add the exponents...
whpalmer4
  • whpalmer4
-7 + 3 =
anonymous
  • anonymous
my mistake it's -4
whpalmer4
  • whpalmer4
Right. Now the division: \[\frac{10^{-4}}{10^2}=\] Identical bases, so we subtract: \[10^{-4-2} = \]
anonymous
  • anonymous
yep so the answer is 10^-6
whpalmer4
  • whpalmer4
Bingo!
whpalmer4
  • whpalmer4
Guys named William have to watch out each other, right? :-)

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