मुफ्त घातांक कैलकुलेटर

घातांक (x^n) की गणना करें। आधार और घात दर्ज करें और परिणाम तुरंत पाएं।

Base

Exponent

परिणाम

1,024.000000

Reciprocal0.0009765625

सूत्र

b^n = b × b × b × ... (n times)

b^0 = 1 (any nonzero number to the zero power is 1)

b^1 = b

b^(-n) = 1/b^n

b^(m+n) = b^m × b^n

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

b^(1/n) = nth root of b

Calculate 2^10.

What is an exponent?

An exponent tells you how many times to multiply a number by itself. In b^n, b is the base and n is the exponent.

What is any number to the power of 0?

Any nonzero number raised to the power of 0 equals 1. This is by mathematical convention and follows from the pattern of dividing.

Can exponents be negative or fractional?

Yes. A negative exponent means the reciprocal: 2^(-3) = 1/8. A fractional exponent means a root: 8^(1/3) = 2 (the cube root of 8).

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