exponent question- scientific notation?

Question

in the scientific notation 4.140625 x 10^-3
the 10 with the exponent should equal .001 to come out to the right answer. (.004140625) but 10^-3 equals .01 when i figure it out. (10 divided by 1000). the rules for scientific notation say that the exponent describes a move of the decimal point. so negative 3 would be three to the left. and that is correct, by why does 10^-3 work out to .01 when i do the math for the 10 and the exponent only? the notation doesn't seem to make sense to me.... please help!!!!!!!!!!!

Answer 1

10³ = 1000
10² = 100
10^1 = 10
10^0 = 1
10^(-1) = 1/10 = 0.1
10^(-2) = 1/10 ² = 1 / 100 = 0.01
10^(-3) = 1/10 ³ = 1 / 1000 = 0.001
etc
Hope this helps.

Answer 2

im not sure if your implying that the negative exponents will be used in scientific notation, or just the negative exponents, but either way here it is. Negative exponents by themselves just say that number over 1, for instance 2^-2 is really 1/2^2 or 1/4 negative exponents in scientific notation are the opposite of really big numbers. Like 1.0x10^10 is huge, 1.0x10^-10 would be tiny. I.E. .0000000001, err might be missing a zero.

Answer 3

10^(-3) = 0.001, not 0.01

That's why it works.