Explanation Given: The expression is 9 8 k + 3 18 k − 32 k . All variables represent non-negative real numbers. Rules used: Rules for radical notation: 1. If a is a real number, n is positive integer, and a 1 / n is a real number then rational exponent expression a 1 / n is equivalent to radical expression a n . 2. If a is a real number, m is an integer, n is a positive integer, and a n is a real number, then radical notation of a m / n is either ( a n ) m or a m n . 3. If n is an even positive integer then, a n n = | a | and if n is an odd positive integer, then a n n = a . Rules for radicals For all real numbers a and b, and positive integers m and n for which the indicated roots are real numbers, then the following rules hold. a n ⋅ b n = a b n a b n = a n b n ( b ≠ 0 ) a n m = a m n Rules for simplified radicals: “An expression with radicals is simplified when the following conditions are satisfied. 1. The radicand has no factor raised to a power greater than or equal to the index. 2. The radicand has no fractions. 3. No denominator contains a radical(Rationalizing) 4. Exponents in the radicand and the index of the radical have no common factor. 5. All indicated operations have been performed if possible

7th Edition

ISBN: 9780134693828

Author: HORNSBY

Publisher: PEARSON CO

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Question

Chapter R.6, Problem 64E

To determine

The simplest form of 98k+318k−32k.

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Chapter R.6, Problem 63E

Chapter R.6, Problem 65E

Chapter R Solutions

EP GRAPHICAL APPR.TO COLL.ALG.-MYMATH..

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The simplest form of 9 8 k + 3 18 k − 32 k .

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The simplest form of 98k+318k−32k.

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Chapter R Solutions