

Rules of Exponents  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 nth power, a raised to the power [of] n or possibly a raised to the exponent [of] n, or more briefly: a to the nth 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
a^{x} · a^{y} = a ^{(x+y)}    ( a · b )^{x} = a^{x} · b^{x}  ( a^{x} )^{y} = a ^{x·y}       
 






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