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### High School Mathematics - 21.14 Negative Exponents

• Negative exponents are a way of indicating reciprocals.
• Negative exponent is equivalent to the inverse of the same number with a positive exponent.
Example:
2-3 = 1/23 = 1/8
 Other examples: 3-2 = 1/32 = 1/9 (-2)2 = (-2) x (-2) = 4 6-2 = 1/62 = 1/36 -22 = - (2 x 2 ) = -4 2-4 = 1/24 = 1/16 (-2)3 = (-2) x (-2) x (-2) = -8 5-1 = 1/51 = 1/5 -23 = - ( 2 x 2 x 2) = - 8 1/2-2 = 22 = 4 (-2)-2 = 1/(-2)2 = 1/(-2x-2) = 1/4

Directions: Answer the following questions. Also write at least ten examples of your own.
 Q 1: Find the value for the exponent: 2-2 = 41/6-41/4 Q 2: Find the value for the exponent: -2-2 = 4-1/41/4-4 Q 3: Find the value for the exponent: (-2)-2 = 1/4-44-1/4 Q 4: Find the value for the exponent: -2-3 = 1/8-1/88-8 Q 5: Find the value for the exponent: (-2)-3 = -1/881/8-8 Q 6: Find the value for the exponent: 1-3 = 0-111/2 Q 7: Find the value for the exponent: -2-4 = -16-1/161/1616 Q 8: Find the value for the exponent: (-2)-4 = 1/16-1616-1/16 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!