For example, if I want to calculate 2^0.6 without a calculator, how can I do this? I just came to the realization that I've been in school for a long time without ever finding this out! (They're about to give me a bachelor's in mechanical engineering for crying out loud!) A good link would be just as helpful as a long-winded explanation. Thanks.
2007-10-04 04:09:18 · 0 answers · asked by kevinthenerd 3 in Science & Mathematics ➔ Mathematics
you can use the exponential and logarithmic properties... but even with that you still need calculators.. or some other device...
lol.. engineer... then if not a calculator... the old time slide rule might work
a^b = e^( b ln a) ... this rule is actually applicable even for complex numbers... §
2^0.6 = e^(0.6 * ln2)
now if you dont want to use a calculator really... you can use power series...
ln(1+x) = x - x^2/2 + x^3/3 - x^4/4 + x^5/5 - x^6/6 + ...
for -1 < x ≤ 1
meanwhile...
e^x = x + x^2/2! + x^3/3! + x^4/4! + x^5/5! + x^6/6! + ...
for all real numbers x.
truncate the series to the desired accuracy...
lol... is this fun?
too meticulous... but at least you dont really have to depend on a calculator...
2007-10-04 04:23:13 · answer #1 · answered by Alam Ko Iyan 7 · 3⤊ 0⤋
Integer Exponents Calculator
2016-10-04 05:08:42 · answer #2 · answered by golden 4 · 0⤊ 0⤋
The numerator is the exponent, the denominator is the root. So a real basic example, 9^(0.5)= 9^(1/2) really means 9^1 which is still 9 and then sqrt(9) which is 3.
So for your example, 0.6=6/10=3/5 so 2^3=8 so the 5th root of 8 = 1.51571657 (I used Google calculator to get an approximation)
2007-10-04 04:25:09 · answer #3 · answered by cgflann 4 · 3⤊ 2⤋
Get a book with a table of logarithms
2007-10-04 04:17:34 · answer #4 · answered by dogsafire 7 · 0⤊ 3⤋