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Published byBrett Johnson Modified over 9 years ago
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6.1.1 – Properties of Exponents
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We worked with combining/multiply like terms, mostly in single terms Example. Simplify the following expressions. 1) x(2x + 5) 2) (x + 4)(x – 3) 3) (x + 9) 2 4) (x – 3)(x – 8) 5) 2x(3x – 1)
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But, if we have different powers, we need another way to simplify and combine like terms Exponents = a number of the form a m ; a is the base and m is the power To use and combine exponents, we have several properties that will make it easier
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Exponent Properties
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Important Note! If the bases are NOT common, we cannot use the above previous properties; could only simplify any coefficients Example. Simplify x 2 (x 9 ) Example. Simplify x 5 (y 10 )
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Example. Simplify the following expressions using exponent properties. Rule: Multiply coefficients, add exponents (when applicable) 1) (2 4 ) 3 2) (-2) 3 (-2) 7 3) (5y 4 )(y 9 ) 4) (6x 4 ) 2 5) (2p)(4p 3 ) 6) (125x 7 ) 0
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Assignment Pg. 299 3, 4, 6, 8, 10, 12-18, 28, 29
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