Evaluate the following expression. 9+6^(2)-2*8=

Order of Operations: Identify the order of operations for the expression 9 + 6^2 - 2*8. According to the order of operations (PEMDAS/BODMAS), we first calculate any exponents, then perform multiplication and division from left to right, and finally addition and subtraction from left to right.Calculate the Exponent: Calculate the exponent in the expression. The exponent in the expression is 6^2, which means 6 multiplied by itself. 6^2 = 6 * 6 = 36Perform the Multiplication: Perform the multiplication in the expression. The multiplication part of the expression is 2*8. 2*8 = 16Combine Results: Combine the results of the exponentiation and multiplication with the remaining parts of the expression. Now we have the values 36 from the exponentiation and 16 from the multiplication. We substitute these values back into the expression. 9 + 36 - 16Perform Addition and Subtraction: Perform the addition and subtraction from left to right. First, we add 9 and 36. 9 + 36 = 45 Then, we subtract 16 from the result. 45 - 16 = 29

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Math Problems

Grade 8

Understanding exponents

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Q. Evaluate the following expression.

\newline

9+6^{2}-2 \cdot 8=

Order of Operations: Identify the order of operations for the expression $9 + 6^2 - 2 \times 8$ . $\newline$ According to the order of operations (PEMDAS/BODMAS), we first calculate any exponents, then perform multiplication and division from left to right, and finally addition and subtraction from left to right.
Calculate the Exponent: Calculate the exponent in the expression. $\newline$ The exponent in the expression is $6^2$ , which means $6$ multiplied by itself. $\newline$ $6^2 = 6 \times 6 = 36$
Perform the Multiplication: Perform the multiplication in the expression. $\newline$ The multiplication part of the expression is $2 \times 8$ . $\newline$ $2 \times 8 = 16$
Combine Results: Combine the results of the exponentiation and multiplication with the remaining parts of the expression. $\newline$ Now we have the values $36$ from the exponentiation and $16$ from the multiplication. We substitute these values back into the expression. $\newline$ $9 + 36 - 16$
Perform Addition and Subtraction: Perform the addition and subtraction from left to right. $\newline$ First, we add $9$ and $36$ . $\newline$ $9 + 36 = 45$ $\newline$ Then, we subtract $16$ from the result. $\newline$ $45 - 16 = 29$