Evaluate the expression (1)/(2)(8)^(x) for x=2.

Identify base and exponent: Identify the base and the exponent in the expression (1)/(2)(8)^(x) for x=2. In (1)/(2)(8)^(x), when x=2, we have: Base: 8 Exponent: x = 2Substitute value of x: Substitute the value of x into the expression. (1)/(2)(8)^(2)Calculate exponent: Calculate the value of 8 raised to the power of 2. 8^2 = 8 * 8 = 64Divide by product: Divide 1 by the product of 2 and 64. (1)/(2 * 64)Perform multiplication: Perform the multiplication in the denominator. 2 * 64 = 128Complete the division: Complete the division to find the final value. (1)/(128)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate the expression
(1)/(2)(8)^(x) for
x=2.

Evaluate the expression $\frac{1}{2}(8)^{x}$ for $x=2$ .

View step-by-step help

Home

Math Problems

Grade 8

Evaluate one-variable expressions

Full solution

Q. Evaluate the expression

\frac{1}{2}(8)^{x}

for

x=2

Identify base and exponent: Identify the base and the exponent in the expression $(1)/(2)(8)^{(x)}$ for $x=2$ . $\newline$ In $(1)/(2)(8)^{(x)}$ , when $x=2$ , we have: $\newline$ Base: $8$ $\newline$ Exponent: $x = 2$
Substitute value of x: Substitute the value of $x$ into the expression. $\frac{1}{2}(8)^{2}$
Calculate exponent: Calculate the value of $8$ raised to the power of $2$ . $\newline$ $8^2 = 8 \times 8$ $\newline$ $= 64$
Divide by product: Divide $1$ by the product of $2$ and $64$ . $(1)/(2 \times 64)$
Perform multiplication: Perform the multiplication in the denominator. $2 \times 64 = 128$
Complete the division: Complete the division to find the final value. $(1)/(128)$