Evaluate the expression. Do not round your answer. (1)/(4)(2^(3)+4^(2))=

Evaluate exponents: Evaluate the exponents in the expression. We have the expression (1)/(4)(2^(3)+4^(2)). We need to evaluate 2^3 and 4^2. 2^3 = 2 * 2 * 2 = 8 4^2 = 4 * 4 = 16Substitute values: Substitute the values of the exponents back into the expression. Now we substitute the values of 2^3 and 4^2 back into the expression: (1)/(4)(8+16)Add values: Add the values inside the parentheses. We add 8 and 16 together: 8 + 16 = 24 So the expression becomes: (1)/(4)(24)Multiply denominator: Multiply the denominator. We multiply 4 by 24 to get the denominator of the fraction: 4 * 24 = 96 So the expression becomes: (1)/(96)Simplify fraction: Simplify the fraction if possible. The fraction (1)/(96) is already in its simplest form, so we cannot simplify it further.

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Math Problems

Algebra 1

Negative exponents

Full solution

Q. Evaluate the expression.

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Do not round your answer.

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\frac{1}{4}\left(2^{3}+4^{2}\right)=

Evaluate exponents: Evaluate the exponents in the expression. $\newline$ We have the expression $(1)/(4)(2^{3}+4^{2})$ . We need to evaluate $2^3$ and $4^2$ . $\newline$ $2^3 = 2 \times 2 \times 2 = 8$ $\newline$ $4^2 = 4 \times 4 = 16$
Substitute values: Substitute the values of the exponents back into the expression. $\newline$ Now we substitute the values of $2^3$ and $4^2$ back into the expression: $\newline$ $(1)/(4)(8+16)$
Add values: Add the values inside the parentheses. $\newline$ We add $8$ and $16$ together: $\newline$ $8 + 16 = 24$ $\newline$ So the expression becomes: $\newline$ $(1)/(4)(24)$
Multiply denominator: Multiply the denominator. $\newline$ We multiply $4$ by $24$ to get the denominator of the fraction: $\newline$ $4 \times 24 = 96$ $\newline$ So the expression becomes: $\newline$ $\frac{1}{96}$
Simplify fraction: Simplify the fraction if possible. $\newline$ The fraction $(1)/(96)$ is already in its simplest form, so we cannot simplify it further.