What is the value of 2 to the power of 9?

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2 to the power of 9, also written as 2^9, refers to the mathematical operation where the base (which is 2) is multiplied by itself a total of 9 times. This can be expressed as:

  • 2^9 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

To calculate this, we can break it down step by step:

  • 2 × 2 = 4
  • 4 × 2 = 8
  • 8 × 2 = 16
  • 16 × 2 = 32
  • 32 × 2 = 64
  • 64 × 2 = 128
  • 128 × 2 = 256
  • 256 × 2 = 512

After performing the multiplications, we finally find that 2 to the power of 9 is equal to 512. In summary:

29 = 512

This powerful concept is widely used in various fields including computer science, where binary systems often rely on powers of 2 for data representation. Understanding exponents like this is essential for deeper insights into mathematics and technology.

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