Identify Expression and Value: Identify the expression and the value for which it needs to be evaluated.The expression given is (5⋅x3)/(x2) and we need to evaluate it for x=2.
Substitute Value into Expression: Substitute the value of x into the expression.Substitute x=2 into the expression to get 225⋅23.
Simplify Using Exponents: Simplify the expression using the laws of exponents. 23 means 2 multiplied by itself 3 times, which is 2×2×2=8.22 means 2 multiplied by itself 2 times, which is 2×2=4.So, the expression becomes (5×8)/(4).
Perform Multiplication and Division: Perform the multiplication and division.First, multiply 5 by 8 to get 40.Then, divide 40 by 4 to get 10.So, the simplified expression is 10.