Properties of Exponents
Zero Exponent Property: Any number (except 0) with an exponent of 0 equals 1. Negative Exponent Property: Any number raised to a negative power is equivalent to the reciprocal of the positive exponent of the number. Product of Powers Property: To multiply two powers with the same base, add the exponents. Quotient of Powers Property: To divide two powers with the same base, subtract the exponents. Power of a Product Property: To find a power of a product, find the power of each factor and then multiply Power of a Quotient Property: To find a power of a quotient, find the power of each part of the quotient, and then divide by canceling common factors. Power of a Power Property: To find a power of a power, multiply the exponents. Rational Exponent Property: Fractional powers, where a number is raised to a fraction, can be converted to a radical. The numerator becomes the exponent, and the denominator becomes the index of the radical.
This could use some examples. \(\LaTeX\) ones could really help.
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