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### MEAP Preparation - Grade 7 Mathematics1.150 Negative Exponents

 Negative exponents mean that instead of multiplying that many of the base numbers together, you divide them. For instance, 5^2 = 5*5; on the other hand, 5^-2 = (1/5)*(1/5). In other words, if the exponent of a base is negative, it is equivalent to the positive exponent of the reciprocal of the base. Examples: a-2 = 1/(a2) = 1/(axa) = 1/a2 3-3 = 1/(33) = 1/(3x3x3) = 1/27 3-2 = 1/(32) = 1/(3x3) = 1/9 5-3 = 1/(53) = 1/(5x5x5) = 1/125 -2-2 = -1/(22) = -1/(2x2) = -1/4 (-2)-2 = 1/(-2)2 = 1/(-2x-2) = 1/4 -2-3 = -1/(23) = -1/(2x2x2) = -1/8 (-2)-3 = 1/(-2)3 = 1/(-2x-2x-2) = 1/-8 = -1/8 Directions: Answer the following negative exponent questions. Also write at least 10 examples of your own.
 Q 1: 2-2= _____? (Hint: 2-2= 1/22 = ____?)-441/4 Q 2: 10-2 = ______? (Hint: 10-2 = 1/102 = ____?)-1001001/100 Q 3: 1-2 = ______? (Hint: 1-2 = 1/12 = ____?)01-1 Q 4: 2-5 = _______? (Hint: 2-5 = 1/25 = ____?)1/32-3232 Q 5: 3-4= ______? (Hint: 3-4 = 1/34 = 1/(3x3x3x3)____?)-81811/81 Q 6: (-2)-4 = _______? (Hint: (-2)-4 = 1/(-2)4 = ____?)-1/16-1/81/16 Q 7: Solve: -2-3 = _______? (Hint:-2-3 = -1/23 = ____?)-1/8-1/61/8 Q 8: (-2)-3 = _______? (Hint: (-2)-3 = 1/(-2)3 = ____?)-1/6-1/81/8 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!