Question

Simplify the expression

$\left(k\right)\left(k^3\right)$

Short answer

The simplified version of$\left(k\right)\left(k^3\right)$ is $k^4$.

Step-by-step solution

Step 1. State the multiplication rule of Law of indices.

If the two terms have the same base (in this case x) and are to be multiplied together their indices are added.

In general:$x^m\times x^n=x^{m+n}$

Step 2. Simplify the expression.

Apply the multiplication rule to simplify the given expression.

$$\begin{gathered} \left(k\right)\left(k^3\right)=k^{1+3} \\ =k^4 \end{gathered}$$

Step 3. State the conclusion.

As there are no other constant terms or any other variables, just add the powers of variable k and the expression is simplified.

$\left(k\right)\left(k^3\right)=k^4$