Answer:
[tex]2{x}^{ \frac{3}{2} } [/tex]
Step-by-step explanation:
We want to simplify:
[tex] \frac{ {x}^{2} + {x}^{2} }{ {x}^{ \frac{1}{2} } } [/tex]
We first simplify the numerator to obtain:
[tex]\frac{ 2{x}^{2} }{ {x}^{ \frac{1}{2} } } [/tex]
Next the quotient rule:
[tex] \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} [/tex]
We apply this quotient rule to get:
[tex]\frac{ 2{x}^{2} }{ {x}^{ \frac{1}{2} } } = 2{x}^{2 - \frac{1}{2} } [/tex]
Simplify exponents:
[tex]\frac{ 2{x}^{2} }{ {x}^{ \frac{1}{2} } } = 2{x}^{ \frac{3}{2} } [/tex]
Therefore the given expresion simplifies to:
[tex]2{x}^{ \frac{3}{2} } [/tex]
