Answer:
10.
Step-by-step explanation:
We have been given an expression [tex]\frac{5\cdot x^3}{x^2}[/tex]. We are asked to evaluate our expression for [tex]x=2[/tex].
To evaluate our expression, we will substitute [tex]x=2[/tex] in our given expression.
[tex]\frac{5\cdot 2^3}{2^2}[/tex]
Using exponent rule [tex]\frac{a^m}{a^n}=a^{m-n}[/tex], we will get:
[tex]5\cdot 2^{3-2}[/tex]
[tex]5\cdot 2^{1}[/tex]
[tex]5\cdot 2[/tex]
[tex]10[/tex]
Therefore, the value of our given expression is 10.
