Question

(-2)^3 = -1/8
True or False

Answer 1

Answer:

The value of $(-2)^{3} = -8$.

Hence, the given statement is False

Step-by-step explanation:

Given : The equation given is $(-2)^{3} = -\frac{1}{8}$

To find : We have to state whether the above equation is true or false.

Solution :

• The given equation is,  $(-2)^{3} = -\frac{1}{8}$
• We know that cube of any number can be found out by multiplying the same number for three times with itself.
• We should always remember that cube of a negative number is always negative.
• Consider given example, $(-2)^{3}$.

     $(-2)^{3}$ = $(-2)*(-2)*(-2)$

             $= 4*(-2)$    (∵ $-*-=+$)

             =  $-8$         (∵ $+*-=-$)

• ∴ The value of $(-2)^{3} = -8$.
• Hence, the given statement is False