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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: 1-2 = ______? (Hint: 1-2 = 1/12 = ____?)10-1 Q 2: (-3)-3 = _______? (Hint: -3-3 = 1/(-3)3 = ____?)1/91/27-1/27 Q 3: 3-4= ______? (Hint: 3-4 = 1/34 = 1/(3x3x3x3)____?)1/81-8181 Q 4: (-2)-3 = _______? (Hint: (-2)-3 = 1/(-2)3 = ____?)1/8-1/6-1/8 Q 5: 10-2 = ______? (Hint: 10-2 = 1/102 = ____?)1/100-100100 Q 6: 2-5 = _______? (Hint: 2-5 = 1/25 = ____?)1/32-3232 Q 7: b-5 = ______?(Hint: b-5 = 1/b5 = ____?)-b5b51/b5 Q 8: Solve: -2-3 = _______? (Hint:-2-3 = -1/23 = ____?)-1/61/8-1/8 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!