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Warm-up Given the function f(x)= -2x + 5, Evaluate : 1. f(2) 2. f(-3) 4. Simplify : 2 2 3x - 6x + 4x + 2x 1 3. f 2 Exponent Rules Exponents The exponent of a number says how many times to use the number in a multiplication. 2 8 8 8 64 8 2 Base Exponent Power of 1 Any number or variable raised to the 1st power is itself. Algebra: Example: 1 a a 1 5 5 Power of 0 Any number or variable raised to the zero power is 1. Algebra: Example: 0 a 1 0 5 1 Negative Exponent Any number or variable raised to a negative exponent becomes the reciprocal. 1 Algebra: 1 a a 1 1 Example: 5 5 Multiplying Powers with the Same Base Add the exponents Algebra: Example: m n m n a a a 2 3 x x Raising a Power to a Power Multiply the exponents Algebra: a Example: x m 7 n 3 mn a Dividing Powers with Same Base Subtract the exponents m a m n Algebra: a n a 6 Example: x 4 x Distribution Distribute the exponent to everything in the parentheses Algebra: Example: ab m 2x 3 4 m m a b TRY IT: 1. 2. 1 x 3 x 5 x 3 x 5 4 2 3. 2x 3x 3 2 4 12x y 4. 2 2 3x y 3 5 2 5. 5x y 3x y 2 Exponents Worksheet