Assignment 1 Solutions

Assignment 1 Solutions - Assignment#1 1. What is 5 25 125...

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Assignment#1 1. What is 5 · 25 · 125 · 625 · 3125 · 15625 · 78125 · 390625 · 1953125 · 9765625 · 48828125 · 244140625 · 1220703125? 5 1 · 5 2 ··· 5 12 · 5 13 5 1+2+ ··· +12+13 5 91 2. Rationalise 2+ 3 2 - 3 . 2 + 3 2 - 3 2 + 3 2 - 3 ± 2 + 3 2 + 3 ² (2 + 3) 2 2 2 - 3 2 4 + 4 3 + 3 4 - 3 7 + 4 3 3. If n = m 5 and m 2 = 7, what is n 3 · m ? n 3 · m ( m 5 ) 3 · m m 15 · m m 16 ( m 2 ) 8 7 8
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4. If x 3 y 5 = 2 11 · 3 13 and x y 2 = 1 27 , solve for x and y . Rearrange the second equation. x y 2 = 1 27 x = y 2 27 Sub x = y 2 27 into the first equation. x 3 y 5 = 2 11 · 3 13 ± y 2 27 ² 3 y 5 = 2 11 · 3 13 ( y 2 ) 3 27 3 y 5 = 2 11 · 3 13 ( y 6 ) (3 3 ) 3 y 5 = 2 11 · 3 13 ( y 6 ) 3 9 y 5 = 2 11 · 3 13 y 11 = 3 9 · 2 11 · 3 13 y 11 = 2 11 · 3 22 y 11 = (2 · 3 2 ) 11 y = 2 · 3 2 = 18 Sub y = 2 · 3 2 into the second equation. x y 2 = 1 27 x = y 2 27 x = (2 · 3 2 ) 2 27 x = 2 2 · 3 4 3 3
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x = 2 2 · 3 4 - 3 x = 2 2 · 3 1 = 12 5. Solve for
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Assignment 1 Solutions - Assignment#1 1. What is 5 25 125...

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