Evaluate the expression (1)/(2)x^(3) for x=4.

Identify expression and value: Identify the given expression and the value to substitute for x. The expression is (1)/(2)x^(3), and we need to evaluate it for x=4.Substitute value into expression: Substitute the value of x into the expression. Replace x with 4 in the expression to get (1)/(2)*4^(3).Calculate exponent: Calculate the value of 4 raised to the power of 3. 4^(3) equals 4*4*4, which is 64.Multiply by (1)/(2): Multiply the result by (1)/(2). Now we have (1)/(2)*64, which simplifies to 64/2.Divide by 2: Divide 64 by 2 to get the final result. 64 divided by 2 equals 32.

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Evaluate the expression
(1)/(2)x^(3) for
x=4.

Evaluate the expression $\frac{1}{2} x^{3}$ for $x=4$ .

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Grade 8

Evaluate multi-variable expressions

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Q. Evaluate the expression

\frac{1}{2} x^{3}

for

x=4

Identify expression and value: Identify the given expression and the value to substitute for $x$ . The expression is $\frac{1}{2}x^{3}$ , and we need to evaluate it for $x=4$ .
Substitute value into expression: Substitute the value of $x$ into the expression. $\newline$ Replace $x$ with $4$ in the expression to get $\frac{1}{2}\cdot4^{3}$ .
Calculate exponent: Calculate the value of $4$ raised to the power of $3$ . $4^{3}$ equals $4\times4\times4$ , which is $64$ .
Multiply by $(1)/(2)$ : Multiply the result by $(1)/(2)$ . Now we have $(1)/(2)\times 64$ , which simplifies to $64/2$ .
Divide by $2$ : Divide $64$ by $2$ to get the final result. $\newline$ $64$ divided by $2$ equals $32$ .