Posted by andytrfmn on Wednesday, February 20, 2008 at 1:27pm.
10^7 * 10^3
-------------
10^4 *10^-9
to multiply, add exponents if the base is the same.
Of course that means to divide, subtract exponents.
Since the base for all of these is ten, all we have to do is add and subtract.
7 + 3 - 4 - -9 of course - - is +
7 + 3 - 4 + 9 = 15
so the answer is :::
10^15
We have this:
10^7 * 10^3
------------- =
10^4 * 10^-9
We can multiply the numerators and denominators as step one, if you'd like.
10^7 * 10^3 = 10^10 = our numerator.
10^4 * 10^-9 = 10^-5 = our denominator.
We now have this fraction:
10^10/10^-5
Since we have the SAME BASE of 10 in the numerator and denominator, we simply SUBTRACT THE EXPONENTS.
Our exponents are:
10 - (-5) = 10 + 5 = 15
Final answer: 10^15, which is read:
"ten to the fifthteenth power."
The word power also means exponent, which also means degree.
Is that clear?
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