Question

State whether the given statement is True or False: ${(-3)}^4=-12$

• A. True
• B. False

Answer 1

The correct option is B False

An integer is a number that does not have a fractional component and can be positive, negative and zero as well.

Here,${(-3)}^4=-12$.

Solve $\mathrm{LHS}$:

$\begin{array}{c}\mathrm{LHS}={(-3)}^4\\ =\left(-3\right)\times \left(-3\right)\times \left(-3\right)\times \left(-3\right)\\ =+9\times +9\\ =+81\ne \mathrm{RHS}\end{array}$

Therefore, $\mathrm{LHS}\ne \mathrm{RHS}$.

Hence, ${(-3)}^4=-12$ is a false statement.