Powers and roots

Powers and roots explained: squares, cubes, general powers, roots, scientific notation and calculation rules.

Pick a calculator. Each has the computation, a graph, the rules and real-world uses.

Square (x²)

Calculate the square of a number. With graph, explanation and real-world examples.

Calculate the cube of a number. With graph, explanation and real-world examples.

Raise a number to any integer power, including negative exponents.

Raise a number to any real exponent, including negative and fractional.

Calculate the square root of a number. With graph and explanation.

Calculate the cube root of a number, including negatives.

Calculate the nth root of a number.

Convert a number to scientific (exponential) notation and back.

Simplify a square root to simplest form, e.g. √72 = 6√2, with steps.

Interactive reference of exponent rules (product, quotient, power of a power) with examples using your numbers.