To determine To simplify: The expression ( m 3 ) − 1 + ( n 2 ) − 2 and write the answer as a single term without negative exponents. Explanation Given: The expression ( m 3 ) − 1 + ( n 2 ) − 2 . Definition used: Negative exponent : If a is any nonzero real number and n is a positive integer, then a − n = 1 a n . 5. For any real numbers a and b , ( a b ) m = a m b m , where m is any integer. Calculation: By the definition of the negative exponent, ( m 3 ) − 1 + ( n 2 ) − 2 = 1 ( m 3 ) + 1 ( n 2 ) 2 . Simplify the terms, ( m 3 ) − 1 + ( n 2 ) − 2 = 3 m + 1 ( n 2 2 2 ) [ By property 5, ( a b ) m = a m b m ] That is, ( m 3 ) − 1 + ( n 2 ) − 2 = 3 m + 4 n 2 The common denominator of m and n 2 is m n 2

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Chapter R.6, Problem 24E

To determine

To simplify: The expression (m3)−1+(n2)−2 and write the answer as a single term without negative exponents.

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Chapter R.6, Problem 23E

Chapter R.6, Problem 25E

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Chapter R Solutions

EBK CALCULUS WITH APPLICATIONS, BRIEF V

Ch. R.1 - YOUR TURN 1 Perform the operation Ch. R.1 - YOUR TURN 2 Perform the operation . Ch. R.1 - Prob. 3YT Ch. R.1 - Prob. 4YT Ch. R.1 - Perform the indicated operations. 1. Ch. R.1 - Prob. 2E Ch. R.1 - Prob. 3E Ch. R.1 - Prob. 4E Ch. R.1 - Perform the indicated operations. 5. Ch. R.1 - Perform the indicated operations. 6.

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