Quick Review Exponents are operations to do: 3^{2} means multiply 3 by itself 2 times = (3) (3) = 9 Example 1
Example 2 Any non-zero number raised to the zero power equals 1.
Example 3
1. a^{7}a^{5} = a^{7+5} = a^{12} 2. a^{9}a^{-3} = a^{9+(-3)} = a^{6} 3. x^{5}x^{-7} = x^{5+(-7)} = x^{-2} = Example 4 When dividing the same base: keep the base and subtract the exponents. This is the same as reducing a fraction. Example 5
1. (a^{5})^{3} = a^{(5) (3)} = a^{15} 2. Example 6
Example 7 A negative exponent represents a reciprocal. Remove a negative in the exponent by taking the reciprocal. In a product or quotient, that means moving the base and exponent from the numerator to the denominator or vice-versa, changing the sign in the exponent. Example 8 Exponents only apply to a single character unless there are parentheses. |