EXPONENTIALS

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EXPONENTIALS

1. Rules

X^A+B = X^A . X^B

X^AB = (X^A)^B = (X^B)^A

Common values for the exponent X are e and 10. e, the base of “natural logarithms” is useful - especially in higher mathematics.

2. Examples

10^3 = 10x10x10	e^x = lim n®0 [1+x/m]^m
10^1 = 10	e = 2.71828
10^0 = 1	e^0 = 1	X^0 = 1 if X ¹ 0
10^-3 = 1/10^3

Fractions

10^0.5 = 10^(1/2) = z ® z² = (10^1/2)² = 10

or, 10^0.5 = 10^(1/2) = ²Ö10

similarly

X^0.6 = ¹⁰ÖX⁶

Any number

X^7.6 = X^7+0.6 = X⁷ . X^0.6

3. A graph

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