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Variable expressions with expon
Evaluate the expression
(5*x^(3))/(x^(2)) for
x=2
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Evaluate the expression $\newline$ $(5x^{3})/(x^{2})$ for $x=2$ $\newline$

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Product property of logarithms

Full solution

Q. Evaluate the expression

\newline

(5x^{3})/(x^{2})

for

x=2

\newline

Identify Expression and Value: Identify the expression and the value for which it needs to be evaluated. $\newline$ The expression given is $(5\cdot x^{3})/(x^{2})$ and we need to evaluate it for $x=2$ .
Substitute Value into Expression: Substitute the value of $x$ into the expression. $\newline$ Substitute $x=2$ into the expression to get $\frac{5\cdot2^{3}}{2^{2}}$ .
Simplify Using Exponents: Simplify the expression using the laws of exponents. $\newline$ $2^{3}$ means $2$ multiplied by itself $3$ times, which is $2 \times 2 \times 2 = 8$ . $\newline$ $2^{2}$ means $2$ multiplied by itself $2$ times, which is $2 \times 2 = 4$ . $\newline$ So, the expression becomes $(5 \times 8)/(4)$ .
Perform Multiplication and Division: Perform the multiplication and division. $\newline$ First, multiply $5$ by $8$ to get $40$ . $\newline$ Then, divide $40$ by $4$ to get $10$ . $\newline$ So, the simplified expression is $10$ .

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