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1996 -
2016

Webmaster:

Kirt Blattenberger,

BSEE
- KB3UON

RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling 2 MB. Its primary purpose was to provide me with ready access to commonly needed formulas and reference material while performing my work as an RF system and circuit design engineer. The Internet was still largely an unknown entity at the time and not much was available in the form of WYSIWYG ...

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These rules for exponents
give some insight into why
logarithms are useful for performing multiplication, division, and
exponent operations.

The exponent is usually shown as a superscript to the right of the base. The exponentiation a^{n} can be read as: a raised to the n-th power, a raised to the power [of] n or possibly
a raised to the exponent [of] n, or more briefly: a to the n-th power or a to the power [of] n, or even more
briefly: a to the n. Some exponents have their own pronunciation: for example, a^{2} is usually read as a
squared and a^{3} as a cubed.

The power an can be defined also when n is a negative integer, at least for nonzero a. No natural extension to all real a and n exists, but when the base a is a positive real number, an can be defined for all real and even complex exponents n via the exponential function e^{z}.
Trigonometric functions can be expressed in terms of complex exponentiation.
- Wikipedia

The exponent is usually shown as a superscript to the right of the base. The exponentiation a

The power an can be defined also when n is a negative integer, at least for nonzero a. No natural extension to all real a and n exists, but when the base a is a positive real number, an can be defined for all real and even complex exponents n via the exponential function e

a^{x} · a^{y} = a ^{(x+y)} |
||

( a · b )^{x} = a^{x}
· b^{x} |
||

( a^{x} )^{y} = a ^{x·y} |
||