Exponents Calculator

Instructions:
  • Enter the base and exponent values.
  • Check the "Calculate Square Root" box if you want to calculate the square root.
  • Click the "Calculate" button to perform the calculation.
  • The result will be displayed along with the detailed explanation and formula used.
  • Your calculation history will be listed below.
  • Click the "Clear" button to clear the input fields and result.
  • Click the "Copy" button to copy the result to the clipboard.
Calculation Details:

Calculation History:

    The Exponents Calculator is a tool that helps to calculate the value of a number raised to a power. It is a simple and easy-to-use tool that can be used to simplify expressions, solve equations, and find roots of polynomials.

    Concepts

    Exponents

    An exponent is a mathematical operation that indicates the number of times a number is multiplied by itself. For example, 2^3 means 2 is multiplied by itself 3 times, which is equal to 2 × 2 × 2 = 8.

    Powers

    A power is the result of raising a number to an exponent. For example, 2^3 = 8, where 2 is the base and 3 is the exponent.

    Laws of Exponents

    The laws of exponents are a set of rules that govern the manipulation of exponents. These laws are used to simplify expressions, solve equations, and find roots of polynomials. The basic laws of exponents are:

    • Product Law: a^m × a^n = a^(m+n)
    • Quotient Law: a^m / a^n = a^(m-n)
    • Power Law: (am)n = a^(mn)
    • Negative Exponent Law: a^-m = 1/a^m
    • Zero Exponent Law: a^0 = 1

    Scientific Notation

    Scientific notation is a way of expressing numbers that are very large or very small. It is a shorthand way of writing numbers using powers of 10. For example, the number 300,000,000 can be written as 3 × 10^8 in scientific notation.

    Formulae

    The formula for calculating the value of a number raised to a power is as follows:

    a^n = a × a × a × … × a (n times)

    Benefits

    The Exponents Calculator has several benefits, including:

    • It simplifies expressions.
    • It solves equations.
    • It finds roots of polynomials.
    • It saves time and effort.

    Interesting Facts

    • The number e, which is approximately equal to 2.71828, is a special number in mathematics that is used in many areas of science and engineering. It is the base of the natural logarithm function.
    • The number 2^64 is approximately equal to 18.4 quintillion, which is a very large number.
    • The number 2^-64 is approximately equal to 5.42101 × 10^-20, which is a very small number.
    References
    • Weisstein, Eric W. “Exponent.” From MathWorld–A Wolfram Web Resource1.
    • Sloane, N. J. A. Sequence A001348 /M2930 in “The On-Line Encyclopedia of Integer Sequences.” 1.
    • OpenStax. “1.2 Exponents and Scientific Notation.” 2.

    Last Updated : 11 December, 2023

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