Evaluate the following expression. 4*6÷2^(3)=

Identify order of operations: Identify the order of operations. According to the order of operations (PEMDAS/BODMAS), we first evaluate any expressions inside parentheses, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. In the expression 4*6÷2^(3), there are no parentheses to consider, but there is an exponent (2^(3)), which we should evaluate first.Calculate exponent value: Calculate the value of the exponent. 2^(3) means 2 is multiplied by itself 3 times. 2^(3) = 2 * 2 * 2 = 8Substitute exponent value: Substitute the value of the exponent back into the expression. Now the expression becomes 4*6÷8.Perform multiplication: Perform the multiplication. Next, we perform the multiplication operation before division. 4*6 = 24 Now the expression is simplified to 24÷8.Perform division: Perform the division. Finally, we divide 24 by 8. 24÷8 = 3

Home

Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Evaluate the following expression.

\newline

4 \cdot 6 \div 2^{3}=

Identify order of operations: Identify the order of operations. $\newline$ According to the order of operations (PEMDAS/BODMAS), we first evaluate any expressions inside parentheses, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. $\newline$ In the expression $4\times6\div2^{3}$ , there are no parentheses to consider, but there is an exponent ( $2^{3}$ ), which we should evaluate first.
Calculate exponent value: Calculate the value of the exponent. $2^{3}$ means $2$ is multiplied by itself $3$ times. $2^{3} = 2 \times 2 \times 2 = 8$
Substitute exponent value: Substitute the value of the exponent back into the expression. $\newline$ Now the expression becomes $4\times6\div8$ .
Perform multiplication: Perform the multiplication. $\newline$ Next, we perform the multiplication operation before division. $\newline$ $4 \times 6 = 24$ $\newline$ Now the expression is simplified to $24 \div 8$ .
Perform division: Perform the division. $\newline$ Finally, we divide $24$ by $8$ . $\newline$ $24 \div 8 = 3$