P.2 Exponents and Radicals Properties of Exponents a m a n = a m+n a 0 = 1 (ab) m = a m b m (a m ) n = a mn

Ex. 1a.(-3ab 4 )(4ab -3 ) b.(2xy 2 ) 3 c.3a(-4a 2 ) 0 = -12a 2 b = 8x 3 y 6 = 3a Ex. 2

Scientific Notation Ex. 3 Write each number in scientific notation. a b.836,100,000 = 7.82 x = x 10 8 Ex. 4 Write each number in decimal notation. a.9.36 x b x 10 2 = = 134.5

Ex. 5 Evaluating expressions involving radicals

Properties of Radicals

Ex. 6 & 7

Ex. 8Combining Radicals

Ex. 9 & 10Rationalizing Single-Term and Two Term Denominators Mult. top and bottom by the conjugate. 2

Ex. 12Rationalizing the Numerator This time we are going to rationalize the numerator. -2

Ex.13Changing a Radical to Exponential Form

Ex.14Changing from Exponential to Radical Form

Ex.15Simplifying with Rational Exponents 3

Ex.15Simplifying Algebraic Expressions