Evaluate the expression (1)/(4)(2)^(x) for x=5.

Substitute x with 5: We are given the expression (1)/(4)(2)^(x) and the value of x as 5. We need to substitute x with 5 in the expression. Substitute 5 for x in the expression (1)/(4)(2)^(x). (1)/(4)(2)^(5)Calculate 2 raised to the power of 5: Calculate the value of 2 raised to the power of 5. 2^(5) = 2 * 2 * 2 * 2 * 2 = 32Plug the value of 2^5 into the expression: Now, plug the value of 2^(5) into the original expression. (1)/(4)(2)^(5) becomes (1)/(4 * 32)Multiply 4 by 32: Multiply 4 by 32 to find the denominator. 4 * 32 = 128Write the expression with the calculated denominator: Write the expression with the calculated denominator. (1)/(4 * 32) becomes (1)/(128)Simplify the expression: Simplify the expression to find the final value. (1)/(128) = 0.0078125

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Evaluate the expression
(1)/(4)(2)^(x) for
x=5.

Evaluate the expression $\frac{1}{4}(2)^{x}$ for $x=5$ .

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Math Problems

Grade 8

Evaluate multi-variable expressions

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Q. Evaluate the expression

\frac{1}{4}(2)^{x}

for

x=5

Substitute $x$ with $5$ : We are given the expression $\frac{1}{4}2^{x}$ and the value of $x$ as $5$ . We need to substitute $x$ with $5$ in the expression. $\newline$ Substitute $5$ for $x$ in the expression $\frac{1}{4}2^{x}$ . $\newline$ $5$ $0$
Calculate $2$ raised to the power of $5$ : Calculate the value of $2$ raised to the power of $5$ . $\newline$ $2^{5} = 2 \times 2 \times 2 \times 2 \times 2$ $\newline$ $= 32$
Plug the value of $2^5$ into the expression: Now, plug the value of $2^{5}$ into the original expression. $\newline$ $\frac{1}{4}(2)^{5}$ becomes $\frac{1}{4 \times 32}$
Multiply $4$ by $32$ : Multiply $4$ by $32$ to find the denominator. $\newline$ $4 \times 32 = 128$
Write the expression with the calculated denominator: Write the expression with the calculated denominator. $(1)/(4 \times 32)$ becomes $(1)/(128)$
Simplify the expression: Simplify the expression to find the final value. $(1)/(128) = 0.0078125$