Calculate any base raised to any exponent (power). Handles negative exponents, fractional powers and very large numbers. Shows the full expanded form.
Enter the base number and the exponent. For 2 to the power of 10, enter base = 2 and exponent = 10.
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An exponent tells how many times to multiply the base by itself. In 2^5: 2x2x2x2x2 = 32.
Reciprocal of the base raised to the positive exponent. 2^-3 = 1/8 = 0.125.
Represents a root. x^(1/2) = square root of x. 8^(2/3) = cube root of 64 = 4.
x^a x x^b = x^(a+b). x^a / x^b = x^(a-b). (x^a)^b = x^(axb). x^0 = 1.
A number between 1 and 10 multiplied by a power of 10. Speed of light = 3 x 10^8 m/s.
f(x) = a x b^x where b is constant. Describes population growth and compound interest.
e ≈ 2.71828 — the base of the natural logarithm. The derivative of e^x is e^x itself.
Use logarithms. log(x^n) = n x log(x). For 2^100: 100 x log(2) = 30.103, so 2^100 ≈ 1.268 x 10^30.
