Powers

🎬 Video Tutorial

  • (0:01) Parts of a Power: A power has a base (the number being multiplied) and an index or exponent (the number of times the base is used). For instance, in $5^3$, $5$ is the base, and $3$ is the index.
  • (1:00) Special Rules for Indices: Any number to the power of $1$ is itself; any non-zero number to the power of $0$ is $1$; however, $0^0$ is undefined.
  • (1:30) Square and Cube Numbers: Powers of 2 are called square numbers (e.g., 4, 9, 16), and powers of 3 are called cube numbers (e.g., 8, 27, 64).
  • (2:30) Using BIDMAS with Powers: In calculations, handle indices before multiplication or division.

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Q: What is the result of $10^0$?

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Q: What is the value of $9^1$?

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Q: Evaluate $(4^2) \times 3$.

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Q: Calculate $5 \times 10^2$.

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Q: Evaluate $(6^2) + (2^4)$.

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Q: Simplify $(10^3) - (6 \times 5^2)$

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