Recall the exponent rules you learned in Module 1 for working with scientific notation:xª . x° = xª+b andpª - bUse these rules to help you simplify these products:a. x3 . x2b. x · x2c. (5x)(4x3) =|8x4d.2x3

we know that xa.xb=xa+bxaxb=xa-ba)x3.x2=x3+2x3.x2=x5b) x.x2=x1+2…

Answered: Recall the exponent rules you learned…

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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Related questions

Question

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

Expert Solution

Step 1

$w e k n o w t h a t x^{a} . x^{b} = x^{a + b} \frac{x^{a}}{x^{b}} = x^{a - b} a) x^{3} . x^{2} = x^{3 + 2} x^{3} . x^{2} = x^{5} b) x . x^{2} = x^{1 + 2} x . x^{2} = x^{3} (5 x) (4 x^{3}) = 5 * 4 * x^{1 + 3} (5 x) (4 x^{3}) = 20 x^{4} d) \frac{8 x^{4}}{2 x^{3}} = \frac{4 x^{4}}{x^{3}} = 4 x^{4 - 3} \frac{8 x^{4}}{2 x^{3}} = 4 x$