Explanation Given: The expression 8 p − 3 ⋅ ( 4 p 2 ) − 2 p − 5 . Definition of negative exponent: If a is any nonzero real number and n is a positive integer, then a − n = 1 a n . Calculation: Apply the properties and simplify the terms of the given expression. 8 p − 3 ⋅ ( 4 p 2 ) − 2 p − 5 = 8 p − 3 ⋅ 4 − 2 ⋅ ( p 2 ) − 2 p − 5 [ By Property 4, ( a b ) m = a m ⋅ b m ] = 8 p − 3 ⋅ 4 − 2 ⋅ p ( 2 ) ( − 2 ) p − 5 [ By Property 3, ( a m ) n = a m n ] = 8 p − 3 ⋅ 4 − 2 ⋅ p − 4 p − 5 Group the like terms and apply the property. 8 p − 3 ⋅ ( 4 p 2 ) − 2 p − 5 = 8 ⋅ 4 − 2 ⋅ p − 3 ⋅ p − 4 p − 5 = 8 ⋅ 4 − 2 <

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Chapter R.6, Problem 46E

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To simplify: The expression 8p−3⋅(4p2)−2p−5 and write answer with only positive exponents.

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Chapter R.6, Problem 45E

Chapter R.6, Problem 47E

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The expression 8 p − 3 ⋅ ( 4 p 2 ) − 2 p − 5 and write answer with only positive exponents.

Solution Summary: The author explains how to simplify the expression 8p-3cdot.

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To simplify: The expression 8p−3⋅(4p2)−2p−5 and write answer with only positive exponents.

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Chapter R Solutions