CONCEPTS 13. 1. Using exponential notation, we can write V5 as 2. Using radicals, we can write 512 as . 3. Is there a difference between V5 and (V5)²? Explain. 14. 2-15 15. 4. Explain what 4/2 means, then calculate 432 in two different 16. ways: (4/½). (4°) 17. or 5. Explain how we rationalize a denominator, then complete the 18. following steps to rationalize 19–26 - Evaluating Radicals Evaluate each expression. 19. (а) VI6 (b) Vī6 (c) VE V3 20. (а) V64 (b) V-64 (c) V-32 6. Find the missing power in the following calculation: 51/3.5 = 5. VI8 (b) V8I 21. (а) 3V16 (c) V? 7-8 - Yes or No? If No, give a reason. 22. (a) 2V8ī (c) VE 7. Is the expression V 4a² necessarily equal to 2a? 8. Is the expression Va² + 4 necessarily equal to a + 2? 23. (а) V7 V28 (c) V4 V54 V3 SKILLS 24. (a) VīZ V24 V54 (b) (e) VT5 V75 9-18 - Radicals and Exponents Write each radical expression using exponents and each exponential expression using radicals. V216 25. (a) (b) V7V37 (c) VIVT Radical expression 26. (a) VĮVI VA (c) 108 Exponential expression (b) Vị VT28 9. 27-38 - Simplifying Radicals Simplify the expression. Assume that the letters denote any real numbers. 27. VF 10. 28. VO 11. 4/3 29. V32y 31. V16x* 30. V8a* 32. Vry 12. 10-3/2 -1's

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,...
Question

9–18 ■ Radicals and Exponents Write each radical expression
using exponents and each exponential expression using radicals.

CONCEPTS
13.
1. Using exponential notation, we can write V5 as
2. Using radicals, we can write 512 as .
3. Is there a difference between V5 and (V5)²? Explain.
14.
2-15
15.
4. Explain what 4/2 means, then calculate 432 in two different
16.
ways:
(4/½).
(4°)
17.
or
5. Explain how we rationalize a denominator, then complete the
18.
following steps to rationalize
19–26 - Evaluating Radicals Evaluate each expression.
19. (а) VI6
(b) Vī6
(c) VE
V3
20. (а) V64
(b) V-64
(c) V-32
6. Find the missing power in the following calculation:
51/3.5 = 5.
VI8
(b)
V8I
21. (а) 3V16
(c) V?
7-8 - Yes or No? If No, give a reason.
22. (a) 2V8ī
(c) VE
7. Is the expression V 4a² necessarily equal to 2a?
8. Is the expression Va² + 4 necessarily equal to a + 2?
23. (а) V7 V28
(c) V4 V54
V3
SKILLS
24. (a) VīZ V24
V54
(b)
(e) VT5 V75
9-18 - Radicals and Exponents Write each radical expression
using exponents and each exponential expression using radicals.
V216
25. (a)
(b) V7V37
(c) VIVT
Radical expression
26. (a) VĮVI
VA
(c)
108
Exponential expression
(b) Vị VT28
9.
27-38 - Simplifying Radicals Simplify the expression. Assume
that the letters denote any real numbers.
27. VF
10.
28. VO
11.
4/3
29. V32y
31. V16x*
30. V8a*
32. Vry
12.
10-3/2
-1's
Transcribed Image Text:CONCEPTS 13. 1. Using exponential notation, we can write V5 as 2. Using radicals, we can write 512 as . 3. Is there a difference between V5 and (V5)²? Explain. 14. 2-15 15. 4. Explain what 4/2 means, then calculate 432 in two different 16. ways: (4/½). (4°) 17. or 5. Explain how we rationalize a denominator, then complete the 18. following steps to rationalize 19–26 - Evaluating Radicals Evaluate each expression. 19. (а) VI6 (b) Vī6 (c) VE V3 20. (а) V64 (b) V-64 (c) V-32 6. Find the missing power in the following calculation: 51/3.5 = 5. VI8 (b) V8I 21. (а) 3V16 (c) V? 7-8 - Yes or No? If No, give a reason. 22. (a) 2V8ī (c) VE 7. Is the expression V 4a² necessarily equal to 2a? 8. Is the expression Va² + 4 necessarily equal to a + 2? 23. (а) V7 V28 (c) V4 V54 V3 SKILLS 24. (a) VīZ V24 V54 (b) (e) VT5 V75 9-18 - Radicals and Exponents Write each radical expression using exponents and each exponential expression using radicals. V216 25. (a) (b) V7V37 (c) VIVT Radical expression 26. (a) VĮVI VA (c) 108 Exponential expression (b) Vị VT28 9. 27-38 - Simplifying Radicals Simplify the expression. Assume that the letters denote any real numbers. 27. VF 10. 28. VO 11. 4/3 29. V32y 31. V16x* 30. V8a* 32. Vry 12. 10-3/2 -1's
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