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Rules of Exponents

minimum height spacer 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 an 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, a2 is usually read as a squared and a3 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 ez. Trigonometric functions can be expressed in terms of complex exponentiation. - Wikipedia

ax · ay = a (x+y)  - RF Cafe  - RF Cafe
( a · b )x = ax · bx
( ax )y = a x·y
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