Cube of a negative number is _________ .

Positive

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Cannot be determined.

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either positive or negative

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Negative

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Solution

The correct option is D Negative
Cube of a negative number is always negative.
$(- a)^{3} = (- a) \times (- a) \times (- a) = - a^{3}$
Ex:
Taking cube of a negative number -2
$- 2^{3} = (- 2) \times (- 2) \times (- 2) = - 8$ .

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Question 10
Multiplicative inverse of a negative rational number is:
(a) a positive rational number.
(b) a negative rational number.
(c) 0
(d) 1

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