Question

evaluate the expression \\(\frac{5 \cdot x^3}{x^2}\\) for \\(x = 2\\).

Explanation:

Step1: Simplify the expression

Using the exponent rule $\frac{a^m}{a^n}=a^{m - n}$, we can simplify $\frac{x^3}{x^2}$ as $x^{3-2}=x^1 = x$. So the expression $\frac{5\cdot x^3}{x^2}$ simplifies to $5x$.

Step2: Substitute \( x = 2 \)

Now we substitute $x = 2$ into the simplified expression $5x$. So we have $5\times2$.

Step3: Calculate the result

$5\times2 = 10$.

Answer:

10