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Ch. P - Fundamental Concepts of Algebra
Blitzer - College Algebra 8th Edition
Blitzer8th EditionCollege AlgebraISBN: 9780136970514Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 48

Simplify each exponential expression in Exercises 23–64. (−5x^4 y)(−6x^7 y^11)

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Identify the expression to simplify: \((-5x^4 y)(-6x^7 y^{11})\).
Apply the associative property of multiplication to group the coefficients and like bases: \((-5) \cdot (-6)\), \(x^4 \cdot x^7\), and \(y \cdot y^{11}\).
Multiply the coefficients: \((-5) \cdot (-6)\).
Use the product of powers property for the \(x\) terms: \(x^4 \cdot x^7 = x^{4+7}\).
Use the product of powers property for the \(y\) terms: \(y \cdot y^{11} = y^{1+11}\).

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