What is the sum of the coefficients in the expansion of (2 + 3)^4? (2022)

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Question: What is the sum of the coefficients in the expansion of (2 + 3)^4? (2022)

Options:

Correct Answer: 81

Exam Year: 2022

Solution:

The sum of the coefficients is (2 + 3)^4 = 5^4 = 625.

What is the sum of the coefficients in the expansion of (2 + 3)^4? (2022)

What is the sum of the coefficients in the expansion of (2 + 3)^4? (2022)

Step 1: Identify the expression we need to evaluate, which is (2 + 3)^4.
Step 2: Simplify the expression inside the parentheses: 2 + 3 = 5.
Step 3: Now we have 5^4 to calculate.
Step 4: Calculate 5^4, which means 5 multiplied by itself 4 times: 5 * 5 * 5 * 5.
Step 5: First, calculate 5 * 5 = 25.
Step 6: Next, calculate 25 * 5 = 125.
Step 7: Finally, calculate 125 * 5 = 625.
Step 8: The final result, 625, is the sum of the coefficients in the expansion.

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