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High School Mathematics - 2
1.14 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}
= 1/2
^{3}
= 1/8
Other examples:
3
^{-2}
= 1/3
^{2}
= 1/9
(-2)
^{2}
= (-2) x (-2) = 4
6
^{-2}
= 1/6
^{2}
= 1/36
-2
^{2}
= - (2 x 2 ) = -4
2
^{-4}
= 1/2
^{4}
= 1/16
(-2)
^{3}
= (-2) x (-2) x (-2) = -8
5
^{-1}
= 1/5
^{1}
= 1/5
-2
^{3}
= - ( 2 x 2 x 2) = - 8
1/2
^{-2}
= 2
^{2}
= 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)
^{-3}
=
-8
-1/8
1/8
8
Q 2
: Find the value for the exponent: -2
^{-2}
=
4
1/4
-4
-1/4
Question 3: This question is available to subscribers only!
Question 4: This question is available to subscribers only!
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