Exponents are a shorthand way of showing how many times a number is multiplied by itself. For example, in 2^3, the exponent 3 tells us to multiply 2 by itself three times (2 x 2 x 2).

There are important rules for exponents, including the Product Rule (a^m * a^n = a^(m+n)), Quotient Rule (a^m / a^n = a^(m-n)), and Power Rule ((a^m)^n = a^(m*n)).

Negative exponents indicate reciprocal values. For instance, a^(-n) is the same as 1/a^n.

Any number raised to the power of zero is 1, such as a^0 = 1.

Exponents are crucial in scientific notation, calculating areas, and exponential growth in various fields.

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