See what exponents really mean · Visual dot arrays · Grades 5–7
Exponents are a shorthand way to show repeated multiplication. When we write 2 to the power of 3 (written as 2³), it means 2 multiplied by itself three times: 2 × 2 × 2 = 8. The number being multiplied is called the base, and the small number above it is the exponent or power. Exponents are used throughout mathematics, science, and everyday life.
Any number raised to the power of 1 equals itself. Any number raised to the power of 0 equals 1. Squaring a number means raising it to the power of 2 (for example, 5² = 25), and cubing means raising it to the power of 3 (for example, 3³ = 27). Exponents grow very quickly, which is why they are used to express very large numbers in science using scientific notation.
Understanding exponents is essential for algebra, geometry, and advanced math. Students encounter exponents when calculating area and volume, understanding the metric system, working with scientific notation, and learning about exponential growth and decay. For example, the area of a square with side length 4 is 4² = 16 square units.
This visual tool lets students see what exponents look like using blocks and arrays. Type any base and exponent to see the multiplication expanded step by step. Great for building intuition about powers and exponential growth in grades 4 through 7.
Last reviewed: April 2026