Exponent Calculator
Calculate powers, square roots, and other exponential expressions with our easy-to-use exponent calculator. Perfect for students, engineers, and professionals.
Category: Math
About Exponent Calculations
This calculator helps you work with exponents and powers in various ways:
- Power (x^y): Calculates x raised to the power of y (x^y)
- Square Root (√x): Calculates the square root of x (√x)
- Cube Root (∛x): Calculates the cube root of x (∛x)
- Nth Root (∜x): Calculates the nth root of x
- Natural Log (ln x): Calculates the natural logarithm of x
- Log Base 10 (log10 x): Calculates the logarithm base 10 of x
- Log Base y (logy x): Calculates the logarithm of x with base y
Exponents are used extensively in mathematics, science, engineering, and finance for calculations involving growth, decay, compound interest, and many other applications.
Frequently Asked Questions
What is an exponent?
An exponent (also called a power) indicates how many times a number (the base) is multiplied by itself. For example, in 2³, the base is 2, the exponent is 3, and the value is 2×2×2=8.
How do I calculate powers?
To calculate a power (x^y), multiply the base (x) by itself y times. For example, 5^3 = 5×5×5 = 125. Our calculator can handle this automatically for any valid base and exponent.
What's the difference between square root and nth root?
A square root (√x) finds the number that, when multiplied by itself, equals x. The nth root (∜x) finds the number that, when raised to the power of n, equals x. For example, √9 = 3 because 3² = 9, and ∛27 = 3 because 3³ = 27.
How are logarithms related to exponents?
Logarithms are the inverse of exponential functions. If b^y = x, then log_b(x) = y. For example, since 10³ = 1000, log₁₀(1000) = 3. Logarithms are useful for solving equations where variables appear as exponents.