Calculate powers, square roots, cube roots, and nth roots easily.
Exponents, square roots, and nth roots
A power (exponent) means multiplying a number by itself a set number of times. 2³ = 2 × 2 × 2 = 8. The base is 2, the exponent is 3, and 8 is the result. Square root (√): The inverse of squaring. √25 = 5 because 5² = 25. Every positive number has two square roots: +5 and -5, though conventionally we use the positive one. Cube root (∛): The inverse of cubing. ∛27 = 3 because 3³ = 27. Unlike square roots, cube roots of negative numbers are real: ∛-8 = -2. Fractional exponents: x^(1/n) = nth root of x. So 8^(1/3) = ∛8 = 2. And x^(m/n) = (nth root of x)^m. So 8^(2/3) = (∛8)² = 4. Negative exponents: x^(-n) = 1/xⁿ. So 2^(-3) = 1/8 = 0.125. Any number to the power of 0 equals 1: x⁰ = 1.
Common questions about powers and roots
An exponent indicates how many times a number (base) is multiplied by itself. For example, 2³ = 2 × 2 × 2 = 8. Here 2 is the base and 3 is the exponent.
Other useful tools related to mathematical calculations
How to Use? For power calculation, enter base and exponent. For root calculation, enter the number and root index. Use n=2 for square root, n=3 for cube root.
Calculate any number raised to any power. Example: 2⁸ = 256, 10³ = 1000
Quickly calculate the square root of any number. √64 = 8, √144 = 12
Find the cube root of any number. ∛27 = 3, ∛125 = 5
Calculate roots of any degree. ⁴√16 = 2, ⁵√32 = 2
Calculate with negative exponents. 2⁻³ = 0.125, 10⁻² = 0.01
Work with decimal exponents. 4^0.5 = 2, 8^(1/3) = 2
Common questions about powers and roots
An exponent indicates how many times a number (base) is multiplied by itself. For example, 2³ = 2 × 2 × 2 = 8. Here 2 is the base and 3 is the exponent.