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What is the value of 4^(x) if x = 3?

Practice Questions

Q1
What is the value of 4^(x) if x = 3?
  1. 16
  2. 64
  3. 256
  4. 1024

Questions & Step-by-Step Solutions

What is the value of 4^(x) if x = 3?
  • Step 1: Identify the value of x, which is given as 3.
  • Step 2: Substitute x into the expression 4^x. This means we need to calculate 4^3.
  • Step 3: Rewrite 4 as 2^2, so we have (2^2)^3.
  • Step 4: Use the power of a power rule, which says (a^m)^n = a^(m*n). Here, it becomes 2^(2*3).
  • Step 5: Calculate 2*3, which equals 6. So now we have 2^6.
  • Step 6: Calculate 2^6, which equals 64.
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