Question

Question 3 Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

Answer 1

Answer:

4x

Step-by-step explanation:

Given:

√x • 4√x

Required:

Simplify in rational exponent form

SOLUTION:

Recall => $\sqrt{a} = a^{\frac{1}{2}}$

Thus,

$\sqrt{x}*4\sqrt{x}$ can be expressed in exponent form as $x^{\frac{1}{2}}*4x^{\frac{1}{2}$

When multiplying 2 bases having exponents together, their exponents should be added together, while you multiply the bases. I.e. $x^m*x^n = x^{m+n }$

$= x*4^{\frac{1}{2}+\frac{1}{2}$

$= 4x^{1} = 4x$

The answer is 4x