First, calculate the powers: 2^3 = 8 and 3^2 = 9. Then, perform the multiplication: 4 × 2 = 8. Finally, add and subtract: 8 + 9 - 8 = 9.
Calculate: 2^3 + 3^2 - 4 × 2
Practice Questions
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Calculate: 2^3 + 3^2 - 4 × 2
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Questions & Step-by-Step Solutions
Calculate: 2^3 + 3^2 - 4 × 2
Step 1: Calculate 2 raised to the power of 3 (2^3). This means 2 × 2 × 2, which equals 8.
Step 2: Calculate 3 raised to the power of 2 (3^2). This means 3 × 3, which equals 9.
Step 3: Calculate 4 multiplied by 2 (4 × 2). This equals 8.
Step 4: Now, add the results from Step 1 and Step 2: 8 + 9 equals 17.
Step 5: Finally, subtract the result from Step 3 from the result in Step 4: 17 - 8 equals 9.
Order of Operations – Understanding the correct sequence to perform calculations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Exponents – Calculating powers of numbers, which involves multiplying the base by itself a certain number of times.
Basic Arithmetic – Performing addition, subtraction, and multiplication with whole numbers.
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