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how do you express 10^-4 using a positive exponent?
3 Answers
- "/* InsanityLv 51 decade ago
you should know the following by now:
a^x * a^y = a^(x+y)
and b^x / b^y = b^(x-y)
think of 10 as 10/1
what's (10 / 1) / 10?
it's 10^1 / 10^1... = 10^(1-1) so that's 10^0 (which you know is 1)
divide by 10 again and you have 10^0 / 10^1 = 10^-1 but that is equal to 1 / 10 because that is all we did
so 10^-1 = 1/10
divide by 10 again
10^-1 / 10^1 = 10^(-1-1) = 10^-2
but (1/10) / 10 = 1/100 = 1 / 10^2
so 10^-2 = 1 / 10^2
carry on in this way and find out what 10^-4 is as a fraction
