Recall the exponent rules you learned in Module 1 for working with scientific notation xª . 2 = xa+b and Use these rules to help you simplify these products: a. x3 · x² = b. x • x? = c. (5x)(4x³) =| 8x4 d. 2x3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Recall the exponent rules you learned in Module 1 for working with scientific notation:

\[ x^a \cdot x^b = x^{a+b} \quad \text{and} \quad \frac{x^a}{x^b} = x^{a-b} \]

Use these rules to help you simplify these products:

a. \( x^3 \cdot x^2 = \, \_\_\_\_\_\ )

b. \( x \cdot x^2 = \, \_\_\_\_\_\ )

c. \( (5x)(4x^3) = \, \_\_\_\_\_\ )

d. \(\frac{8x^4}{2x^3} = \, \_\_\_\_\_\ )
Transcribed Image Text:Recall the exponent rules you learned in Module 1 for working with scientific notation: \[ x^a \cdot x^b = x^{a+b} \quad \text{and} \quad \frac{x^a}{x^b} = x^{a-b} \] Use these rules to help you simplify these products: a. \( x^3 \cdot x^2 = \, \_\_\_\_\_\ ) b. \( x \cdot x^2 = \, \_\_\_\_\_\ ) c. \( (5x)(4x^3) = \, \_\_\_\_\_\ ) d. \(\frac{8x^4}{2x^3} = \, \_\_\_\_\_\ )
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we know that xa.xb=xa+bxaxb=xa-ba)x3.x2=x3+2x3.x2=x5b) x.x2=x1+2 x.x2=x3(5x)(4x3)=5*4*x1+3(5x)(4x3)=20x4d)8x42x3=4x4x3       =4x4-3 8x42x3 =4x

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