yCalculator

Exponent and Root Calculator

Last updated: April 2026

Exponent calculator

Result

2^10 = 1024

Step-by-step working
  1. 2^10 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
  2. = 1024

Laws of exponents

b^m x b^n = b^(m+n)

b^m / b^n = b^(m-n)

(b^m)^n = b^(mn)

(ab)^n = a^n b^n

b^0 = 1

b^-n = 1/b^n

Laws of exponents

Exponent laws describe how powers combine when bases are multiplied, divided, or raised to another power.

What are square and cube roots?

A square root reverses squaring, while a cube root reverses cubing. For example, 12 squared is 144, so √144 is 12.

Scientific notation explained

Scientific notation writes very large or very small numbers as a coefficient between 1 and 10 multiplied by a power of 10.

Fractional exponents

Fractional exponents represent roots. b^(1/n) is the nth root of b, and b^(m/n) means take the nth root, then raise it to m.

What does this mean?

This calculator is designed to help you understand the likely number before you make a decision or start an application.

Your result should be checked against official UK guidance, especially if your circumstances include dependants, exemptions, prior leave, or a complex immigration history.

Treat the figure as a planning tool rather than legal advice. Where the answer affects an application deadline or major payment, speak to an authorised adviser.

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