Evaluate the following expression. 2^(8)-10-15÷3=

Evaluate exponentiation: Evaluate the exponentiation part of the expression. The expression given is 2^(8) - 10 - 15 ÷ 3. We start by evaluating the exponentiation part, which is 2^(8). 2^(8) = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256Evaluate division: Evaluate the division part of the expression. Next, we evaluate the division part of the expression, which is 15 ÷ 3. 15 ÷ 3 = 5Combine with subtraction: Combine the results with subtraction. Now we combine the results of the exponentiation and division with the subtraction part of the expression. We have 256 (from Step 1) and 5 (from Step 2), and we need to subtract 10 as well. So, the expression becomes 256 - 10 - 5. First, subtract 10 from 256. 256 - 10 = 246 Then, subtract 5 from the result. 246 - 5 = 241

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Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Evaluate the following expression.

\newline

2^{8}-10-15 \div 3=

Evaluate exponentiation: Evaluate the exponentiation part of the expression. $\newline$ The expression given is $2^{8} - 10 - 15 \div 3$ . We start by evaluating the exponentiation part, which is $2^{8}$ . $\newline$ $2^{8} = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$ $\newline$ $= 256$
Evaluate division: Evaluate the division part of the expression. $\newline$ Next, we evaluate the division part of the expression, which is $15 \div 3$ . $\newline$ $15 \div 3 = 5$
Combine with subtraction: Combine the results with subtraction. $\newline$ Now we combine the results of the exponentiation and division with the subtraction part of the expression. $\newline$ We have $256$ (from Step $1$ ) and $5$ (from Step $2$ ), and we need to subtract $10$ as well. $\newline$ So, the expression becomes $256 - 10 - 5$ . $\newline$ First, subtract $10$ from $256$ . $\newline$ $256 - 10 = 246$ $\newline$ Then, subtract $5$ from the result. $\newline$ $246 - 5 = 241$