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| Exponents - Difficult (for scores from 600 to 800) | |||||||||||||||||||
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| STRATEGY: Read the question two or three times to be sure you understand what it says. Solve: STRATEGY: Think of possible values and substitute. "Guess and check." SAT TIP: In a fractional exponent, the numerator is the power; the denominator is the root. |
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| SAT TIP: The negative exponent means the base and its exponent are the denominator of a fraction. |
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| the square root of (x + y) 1
Now, if you have, ------------------------------ = ----------------------------- 1 the square root of (x - y) (x + y) 1 And, if you square both sides, you have, ------------ = ----------- 1 (x - y) Now, cross multiply: (x + y) (x - y) = 1 (x + y) (x - y) are the factors of the difference ot two perfect squares ! |
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| Answer: STRATEGY: Read the question again to be sure you know what it asks. The answer is E. Click here to return to Exponents. The text is created by College Admissions Services. Copyright 2007. All rights reserved. SAT is a registered trademark of the College Entrance Examination Board, which is not affiliated with the production of these materials nor does it endorse them. |
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