📐

Exponents

★☆☆☆☆Elementary

📖Definition

A shorthand notation for multiplying a number by itself multiple times.

aⁿ = \underbracea × a × ... × a_n times

Definition of exponent

a^m × aⁿ = a^m+n

Exponent rule: multiplication

(a^m)/(aⁿ) = a^m-n

Exponent rule: division

(a^m)ⁿ = a^mn

Exponent rule: power of a power

a⁰ = 1 (a ≠ 0)

Zero exponent equals 1

예제 1★☆☆☆☆

Calculate 2³ × 2⁴.

2³ × 2⁴ = 2^3+4 = 2⁷ = 128

예제 2★☆☆☆☆

Calculate (3²)³.

(3²)³ = 3^2 × 3 = 3⁶ = 729

Large number notation (e.g., 10⁹ = billion)

Powers of 2 (memory sizes)

Compound interest

#operation#fundamental#exponent#elementary