Question

${(-4)}^3$ will be:

• A. $16$
• B. $-16$
• C. $-64$
• D. $64$

Answer 1

The correct option is C

$-64$

Hint: Law of exponents:

$$\begin{gathered} {(-x)}^n={\left(x\right)}^{n}ifniseven \\ =-{\left(x\right)}^{n}ifnisodd \end{gathered}$$

Step 1: Given exponential: ${(-4)}^3$

Step2: Solution:

Using the criteria given above:

$\begin{array}{rcl}{(-4)}^3& =& -{\left(4\right)}^3;\{As3isodd\}\\ & =& -64\end{array}$

(c) Is the correct option.

Hence option (c) Is the correct answer.