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How do you find the fourth power of 2?

To determine the fourth power of 22, you compute 242^4, which results in 1616.

Raising a number to a power involves multiplying that number by itself a specified number of times. The exponent indicates how many times the base number is used in the multiplication. For instance, 242^4 signifies that you multiply 22 by itself four times, expressed as:

2×2×2×2.2 \times 2 \times 2 \times 2.

Let’s break down this calculation step by step:

  1. Start with the base number 22.
  2. Multiply 22 by itself: 2×2=4.2 \times 2 = 4.
  3. Take the result (44) and multiply it by 22 again: 4×2=8.4 \times 2 = 8.
  4. Finally, take the result (88) and multiply it by 22 once more: 8×2=16.8 \times 2 = 16.

Thus, we conclude that 24=162^4 = 16. This method of repeated multiplication is what we refer to when we talk about raising a number to a power. It is a fundamental principle in mathematics that has applications across various fields, from algebra to physics. Mastering the concept of exponents will empower you to tackle more complex problems and deepen your understanding of numerical relationships.

Answered by: Prof. David Martin
A-Level Physics Tutor
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Our families consistently gain offers from at least one of their target schools, including Eton, Harrow, Wellington and Wycombe Abbey.

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