Question

Rewrite in simplest rational exponent form $\sqrt{x}\times 4\sqrt{x}$.

Show each step of your process $8955$

Answer 1

Simplest rational exponent form of $\sqrt{x}\times 4\sqrt{x}$:

Simplify $\sqrt{x}\times 4\sqrt{x}$:

$$\begin{gathered} \sqrt{x}\times 4\sqrt{x}=4\sqrt{x}\times \sqrt{x} \\ =4\sqrt{x\times x} \\ =4\sqrt{x^2} \\ =4x \end{gathered}$$

Hence, simplest rational exponent form of $\sqrt{x}\times 4\sqrt{x}$is $4x$.