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hat is the value of the expression 32 x (23 + 4) / 22?

hat is the value of the expression 32 x (23 + 4) / 22?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What is the value of the expression 32 x (23 + 4) /  22?

**Question:** What is the value of the expression \(\frac{3^2 \times (2^3 + 4)}{2^2}\)? **Solution:** 1. **Evaluate the exponents:** - \(3^2 = 9\) - \(2^3 = 8\) - \(2^2 = 4\) 2. **Substitute the values into the expression:** - Expression becomes \(\frac{9 \times (8 + 4)}{4}\) 3. **Calculate inside the parentheses:** - \(8 + 4 = 12\) 4. **Substitute back into the expression:** - Expression becomes \(\frac{9 \times 12}{4}\) 5. **Multiply the numerator:** - \(9 \times 12 = 108\) 6. **Divide by the denominator:** - \(\frac{108}{4} = 27\) **Final Answer:** The value of the expression is 27.
Transcribed Image Text:**Question:** What is the value of the expression \(\frac{3^2 \times (2^3 + 4)}{2^2}\)? **Solution:** 1. **Evaluate the exponents:** - \(3^2 = 9\) - \(2^3 = 8\) - \(2^2 = 4\) 2. **Substitute the values into the expression:** - Expression becomes \(\frac{9 \times (8 + 4)}{4}\) 3. **Calculate inside the parentheses:** - \(8 + 4 = 12\) 4. **Substitute back into the expression:** - Expression becomes \(\frac{9 \times 12}{4}\) 5. **Multiply the numerator:** - \(9 \times 12 = 108\) 6. **Divide by the denominator:** - \(\frac{108}{4} = 27\) **Final Answer:** The value of the expression is 27.
Expert Solution
Step 1: Given Information:

Given that the expression is 

                                        fraction numerator 3 squared cross times open parentheses 2 cubed plus 4 close parentheses over denominator 2 squared end fraction.

To find the value of the given expression.

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