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October 2007 Solution
Please note that * represents the multiplication operator, while ^ represents the exponentiation operator.
While there are a variety of expressions that can be used to create each number, we present only one example for each.
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37 = (3+3)^2+3 - 2 |
53 = 2 * 3^3+2 – 3 |
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38 = (3+3)^2+2 |
54 = 2 * 3^3 |
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39 = (3+3)^2+3 |
55 = 2 * 3^3+3 – 2 |
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40 = (2+3) * 2^3 |
56 = 2 * 3^3+2 |
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41 = (3+3)^2+3+2 |
57 = 2 * 3^3+3 |
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42 = (2+2+3) * (3+3) |
58 = 2^(3+3) – 2 * 3 |
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43 = (2+3) * 3 * 3 – 2 |
59 = 2^(3+3) – 2 – 3 |
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44 = (3+3)^2+2^3 |
60 = 2 * (3+3) * (2+3) |
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45 = (2+3) * 3 * 3 |
61 = 2^(3+3) – 3 |
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46 = 2 * 3^3 – 2^3 |
62 = 2^(3+3) – 2 |
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47 = [(2+3) * 3 * 3 ]+2 |
63 = 2^(3+3) – 3+2 |
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48 = 2^3 * 2 * 3 |
64 = 2^(3+3) |
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49 = 2 * 3^3 – 2 – 3 |
65 = 2^(3+3)+3 – 2 |
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50 = 2^3 * (3+3)+2 |
66 = 2^(3+3)+2 |
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51 = 2^3 * 2 * 3+3 |
67 = 2^(3+3)+3 |
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52 = 2 * 3^3 – 2 |
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