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Negative base and odd exponent
Slide 1 of 0
Theory
Negative base and odd exponent
A power with a negative base and an
odd exponent
is always negative. Therefore, the parentheses can be omitted.
(
-
8
)
5
=
-
8
5
The odd exponent means that there are an odd number of negative factors in the product, and the product of each pair is positive.
(
-
8
)
Positive
(
-
8
)
(
-
8
)
Positive
(
-
8
)
(
-
8
)
This means that the product of all factors except one is positive. And the product of a positive and negative number is always negative.
-
8
⋅
8
4
=
-
8
5
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