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© h.hofstede (h.hofstede@hogeland.nl) |
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| 1. | a. | √x • x2 = x0,5• x2 = x2,5 | |
| b. | √x/x = x0,5• x-1 = x-0,5 | ||
| c. | x4 √x = x4 • x0,5 = x4,5 | ||
| d. | (√x)5 • x2 = (x0,5)5 • x2 = x2,5• x2 = x4,5 | ||
| e. | 1/√x = 1/x0,5 = x-0,5 | ||
| f. | √(x7) = (x7)0,5 = x7 • 0,5 = x3,5 | ||
| g. | x5/3 | ||
| h. | x6/4 = x1,5 | ||
| i. | 1/x2/5 = x-2/5 | ||
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| 2. | a. | (-3)2/3 = 3√(-3)2 = 3√9 = 91/3 = 2,08 | |
| b. | (-6)3/4 = 4√(-6)3 = 4√-216 en dat kan niet | ||
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| d. |
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| 3. |
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| 4. | (7x
+ 7-x )2 = (7x)2 + 2 • 7x • 7-x + (7-x)2 = 72x + 2 • 70 + 7-2x = 49x + 2 + 49-x = 7 + 2 = 9 Dan is 7x + 7-x = 3 |
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| 5. | a:
((5 • 6)1/3 )1/2 = (5 • 6)1/6 =
51/6 • 61/6 noem dit X b: (6 • 51/3)1/2 = 61/2 • 51/6 = 62/6 • 61/6 • 51/6 = 61/3 • X c: (5 • 61/3 )1/2 = 51/2 • 61/6 = 52/6 • 51/6 • 61/6 = 51/3 • X d: (5 • 61/2)1/3 = 51/3 • 61/6 = 51/6 • 51/6 • 61/6 = 51/6 • X e. ( 6 • 51/2)1/3 = 61/3 • 51/6 = 61/6 • 61/6 • 51/6 = 61/6 • X Van al de factoren is 61/3 de grootste, dus antwoord b) |
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