What is this in simplest rational exponent form

Question

asked Jun 26, 2020 229k views

1 Answer

Sergey Zhigalov · Answer 1 · 2020-07-01T01:51:42+0000

Answer:

Explanation:

We want to find the simplest rational exponent form of

$√(x) \cdot 4√(x)$

Recall that:
$√(a)=a^{(1)/(2) }$

We rewrite the expression in the exponent form to get:

$x^{(1)/(2)}\cdot 4x^{(1)/(2)$

We can regroup the product to get:

$4 x^{(1)/(2)\cdot x^{(1)/(2)$

We apply the rule:
$a^m\cdot a^n=a6{m+n}$ to get:

$4 x^{(1)/(2)}\cdot x^{(1)/(2)=4 x^{(1)/(2)+(1)/(2)}$

$4 x^{(1)/(2)}\cdot x^{(1)/(2)=4 x^(1)$

$4 x^{(1)/(2)}\cdot x^{(1)/(2)=4x$