RF Cascade Workbook

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1996 -
2016

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Kirt
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BSEE - KB3UON

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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)} |
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( a · b )^{x} = a^{x}
· b^{x} |
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( a^{x} )^{y} = a ^{x·y} |
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