Question

1" title="\frac{x^{2}+x^2 }{x^{\frac{1}{2} } }" alt="\frac{x^{2}+x^2 }{x^{\frac{1}{2} } }" align="absmiddle" class="latex-formula">

Answer 1

Answer:

$2{x}^{ \frac{3}{2} }$

Step-by-step explanation:

We want to simplify:

$\frac{ {x}^{2} + {x}^{2} }{ {x}^{ \frac{1}{2} } }$

We first simplify the numerator to obtain:

$\frac{ 2{x}^{2} }{ {x}^{ \frac{1}{2} } }$

Next the quotient rule:

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$

We apply this quotient rule to get:

$\frac{ 2{x}^{2} }{ {x}^{ \frac{1}{2} } } = 2{x}^{2 - \frac{1}{2} }$

Simplify exponents:

$\frac{ 2{x}^{2} }{ {x}^{ \frac{1}{2} } } = 2{x}^{ \frac{3}{2} }$

Therefore the given expresion simplifies to:

$2{x}^{ \frac{3}{2} }$