Which of the following is equal to its own cube? (a) -1 (b) -2 (c) -3 (d) -9
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Which of the following is equal to its own cube?
(a) -1
(b) -2
(c) -3
(d) -9
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Explanation :
a)(-1)³ = (-1) × (-1) × (-1) = -1
b) (-2)³ = (-2) × (-2) × (-2) = -8
c) (-3)³ = (-3) × (-3) ×(-3) = -27
d) (-9)³ = (-9) × (-9) × (-9) = -729
- According to the question, -1 is eqaual to its own cube.
Answered by
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(a) - 1
(- 1) is equal to its own cube.
How to find the cube of a number?
- The word 'cube' refers to the product of a number taken thrice.
- For example, a³ is found by a × a × a. In other words, a³ = a × a × a.
Also, (-) (-) = (+), (-) (+) = (-).
Step-by-step explanation:
- (- 1)³ = (- 1) × (- 1) × (- 1) = (- 1). Clearly, (- 1) is its own cube.
- (- 2)³ = (- 2) × (- 2) × (- 2) = (- 8). Here, (- 2) is not its own cube.
- (- 3)³ = (- 3) × (- 3) × (- 3) = (- 27). Here, (- 3) is not its own cube.
- (- 9)³ = (- 9) × (- 9) × (- 9) = (- 729). Here, (- 9) is not its own cube.
Since (- 1)³ = (- 1), (- 1) is our final answer.
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