Question

Are the following statements true or false? Correct the false ones by changing the right-hand side and write the statements again.

(4) ${\left(-\frac{1}{2}\right)}^3=-\frac{1}{8}$

Answer 1

${\left(-\frac{1}{2}\right)}^3=-\frac{1}{8}$
Consider ${\left(-\frac{1}{2}\right)}^3$
$=\left(-\frac{1}{2}\right)\times \left(-\frac{1}{2}\right)\times \left(-\frac{1}{2}\right)$
$=\left(-\frac{1}{8}\right)=-\frac{1}{8}$ (Product of negative sign is negative if multiplied for an odd number of times)
∴ ${\left(-\frac{1}{2}\right)}^3=-\frac{1}{8}$ is a true statement.