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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

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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

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Scientific Notation Ex. 3 Write each number in scientific notation. a.0.0000782 b.836,100,000 = 7.82 x 10 -5 = 8.361 x 10 8 Ex. 4 Write each number in decimal notation. a.9.36 x 10 -6 b.1.345 x 10 2 = 0.00000936 = 134.5

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Ex. 5 Evaluating expressions involving radicals

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Properties of Radicals

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Ex. 6 & 7

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Ex. 8Combining Radicals

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

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

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Ex.13Changing a Radical to Exponential Form

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Ex.14Changing from Exponential to Radical Form

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Ex.15Simplifying with Rational Exponents 3

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Ex.15Simplifying Algebraic Expressions

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1 1.2 Objectives ► Integer Exponents ► Rules for Working with Exponents ► Scientific Notation ► Radicals ► Rational Exponents ► Rationalizing the Denominator.

1 1.2 Objectives ► Integer Exponents ► Rules for Working with Exponents ► Scientific Notation ► Radicals ► Rational Exponents ► Rationalizing the Denominator.

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