Raising to a Power

Raising a number to a power means multiplying the number by itself a certain number of times. The number being raised is called the base, and the exponent represents the number of times the base is multiplied by itself. The general form of raising a number to a power is:aⁿwhere a is the base and n is the exponent.

Example:

To raise 2 to the power of 3, we write: 2³ = 2 × 2 × 2 = 8

Study Guide:

Base: The number being raised to a power.
Exponent: The number of times the base is multiplied by itself.
Power: The result of raising a number to a certain exponent.
Rules of Exponents:
- Product of Powers: a^m × aⁿ = a^m+n
- Quotient of Powers: a^m ÷ aⁿ = a^m-n (for a ≠ 0)
- Power of a Power: (a^m)ⁿ = a^m×n
- Power of a Product: (ab)ⁿ = aⁿ × bⁿ
- Power of a Quotient: (a/b)ⁿ = aⁿ ÷ bⁿ (for b ≠ 0)
Negative Exponents: A negative exponent indicates the reciprocal of the base raised to the positive exponent.
Zero Exponent: Any non-zero number raised to the power of 0 equals 1: a⁰ = 1