Learn to write repeated multiplication compactly using exponents, and master the laws that make working with them easy.
An exponent tells you how many times a number (the base) is multiplied by itself. In 2⁴, 2 is the base and 4 is the exponent, meaning 2 × 2 × 2 × 2.
Write 3 × 3 × 3 × 3 × 3 using exponents.
3⁵
Evaluate 2⁴.
2 × 2 × 2 × 2 = 16
When multiplying powers with the same base, add the exponents. When dividing powers with the same base, subtract the exponents. When raising a power to another power, multiply the exponents.
Simplify: 2³ × 2⁴
2³⁺⁴ = 2⁷ = 128
Simplify: (3²)³
3²ˣ³ = 3⁶ = 729
1. Write 5 × 5 × 5 using exponents, and evaluate it.
2. Simplify: 4² × 4³
3. Simplify: 7⁶ ÷ 7²
4. Simplify: (2³)²
5. Evaluate: 10⁰