To determine To simplify: The expression 3 − 5 / 2 ⋅ 3 3 / 2 3 7 / 2 ⋅ 3 − 9 / 2 and write answer with only positive exponents. Explanation Given: The expression 3 − 5 / 2 ⋅ 3 3 / 2 3 7 / 2 ⋅ 3 − 9 / 2 . Definition used: Zero exponent : If a is any nonzero real number, then a 0 = 1 . Property used: (1) For any real number a , a m ⋅ a n = a m + n , where m and n are any integers. (2) For any real number a , a m a n = a m − n , where m and n are any integers. Calculation: Consider the numerator of the given expression 3 − 5 / 2 ⋅ 3 3 / 2 . By the Property (1) stated above, 3 − 5 / 2 ⋅ 3 3 / 2 = 3 ( − 5 / 2 ) + ( 3 / 2 ) . Simplify the terms as follows, 3 − 5 / 2 ⋅ 3 3 / 2 = 3 ( − 5 + 3 ) / 2 = 3 − 2 / 2 = 3 − 1 Consider the numerator of the given expression 3 7 / 2 ⋅ 3 − 9 / 2 . By the Property (1) stated above, 3 7 / 2 ⋅ 3 − 9 / 2 = 3 ( 7 / 2 ) + ( − 9 / 2 )

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Chapter R.6, Problem 40E

To determine

To simplify: The expression 3−5/2⋅33/237/2⋅3−9/2 and write answer with only positive exponents.

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Chapter R.6, Problem 39E

Chapter R.6, Problem 41E

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Chapter R Solutions

CALCULUS WITH APPLICATIONS

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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