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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

MEAP Preparation - Grade 7 Mathematics
1.150 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: Solve: -2-3 = _______? (Hint:-2-3 = -1/23 = ____?)
-1/8
1/8
-1/6

Q 2: (-2)-4 = _______? (Hint: (-2)-4 = 1/(-2)4 = ____?)
-1/8
1/16
-1/16

Q 3: 2-5 = _______? (Hint: 2-5 = 1/25 = ____?)
32
1/32
-32

Q 4: 3-4= ______? (Hint: 3-4 = 1/34 = 1/(3x3x3x3)____?)
1/81
-81
81

Q 5: (-2)-3 = _______? (Hint: (-2)-3 = 1/(-2)3 = ____?)
-1/8
-1/6
1/8

Q 6: 2-2= _____? (Hint: 2-2= 1/22 = ____?)
1/4
4
-4

Q 7: 10-2 = ______? (Hint: 10-2 = 1/102 = ____?)
1/100
100
-100

Q 8: 1-2 = ______? (Hint: 1-2 = 1/12 = ____?)
0
-1
1

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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