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

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. First, we evaluate the exponents. -3^(2) = -9 (since the negative sign is not raised to the power, only the 3 is squared) (-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. (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. -9 + 16 + 1/16 First, we add -9 and 16, which gives us 7. 7 + 1/16Add and Subtract: Finally, we add the fraction 1/16 to the whole number 7. To do this, we can convert 7 to a fraction with the same denominator as 1/16, which is 16. 7 = 7 * (16/16) = 112/16 Now, we add the two fractions. 112/16 + 1/16 = 113/16

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

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

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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 fractions" target="_blank" class="backlink">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. $\frac{112}{16} + \frac{1}{16} = \frac{113}{16}$