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Find the value of (1 + x)^10 at x = 1. (2048)

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Question: Find the value of (1 + x)^10 at x = 1. (2048)

Options:

  1. 10
  2. 11
  3. 1024
  4. 2048

Correct Answer: 1024

Solution: 

Using the binomial theorem, (1 + 1)^10 = 2^10 = 1024.

Find the value of (1 + x)^10 at x = 1. (2048)

Practice Questions

Q1
Find the value of (1 + x)^10 at x = 1. (2048)
  1. 10
  2. 11
  3. 1024
  4. 2048

Questions & Step-by-Step Solutions

Find the value of (1 + x)^10 at x = 1. (2048)
  • Step 1: Identify the expression we need to evaluate, which is (1 + x)^10.
  • Step 2: Substitute x with 1 in the expression, so it becomes (1 + 1)^10.
  • Step 3: Simplify the expression (1 + 1) to get 2.
  • Step 4: Now we have 2^10 to calculate.
  • Step 5: Calculate 2^10, which means multiplying 2 by itself 10 times.
  • Step 6: The result of 2^10 is 1024.
  • Binomial Theorem – The binomial theorem provides a formula for expanding expressions of the form (a + b)^n, where n is a non-negative integer.
  • Substitution – The process of replacing a variable with a specific value to evaluate an expression.
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