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Use the order of operations to solve the expression.
-3^(2)+(-4)^(2)+(1)/(2)(8)

Use the order of operations to solve the expression. $\newline$ $-3^{2}+(-4)^{2}+\frac{1}{2}(8)$ $\newline$

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Time and work rate problems

Full solution

Q. Use the order of operations to solve the expression.

\newline

-3^{2}+(-4)^{2}+\frac{1}{2}(8)

\newline

Apply PEMDAS: Apply the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS. $\newline$ First, we evaluate the exponents. $\newline$ $-3^{2} = -9$ (since the negative sign is not raised to the power, only the $3$ is squared) $\newline$ $(-4)^{2} = 16$ (since the negative sign is inside the parentheses, it is squared along with the $4$ )
Evaluate Exponents: Next, we perform the multiplication. $\newline$ $(1)/(2)(8) = 1/16$ (since $1/2$ multiplied by $8$ equals $1/16$ )
Perform Multiplication: Now, we add and subtract the results from the previous steps. $\newline$ $-9 + 16 + \frac{1}{16}$ $\newline$ First, we add $-9$ and $16$ , which gives us $7$ . $\newline$ $7 + \frac{1}{16}$
Add and Subtract: Finally, we add the fraction $\frac{1}{16}$ to the whole number $7$ . To do this, we can convert $7$ to a fraction with the same denominator as $\frac{1}{16}$ , which is $16$ . $7 = 7 \times \left(\frac{16}{16}\right) = \frac{112}{16}$ Now, we add the two fractions. $\frac{112}{16} + \frac{1}{16} = \frac{113}{16}$

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