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# Exponents Calculator ( $x^n=?$ )

This online calculator for exponents calculates the power of large base integers and real numbers. You can also calculate numbers to the power of large exponents (up to number 999), negative exponents, and real numbers or decimals for exponents. The exponent of a number says how many times to use the number in a multiplication. e.g.

In $4^2$ the "2" says to use 4 twice in a multiplication, so $4^2 = 4 × 4 = 16$Remember:$-3^2$ and $(-4)^2$ are different such that $-3^2$ = -1 x 3 * 3 = -9, compare that with $(-3)^2 = (-3) * (-3) = 9$. If you enter a negative value for x, such as -2, this calculator assumes $(-2)^n$.

Enter value of $x$

**$ x = $**

**$ n = $**

Examples

The exponential notation (sometimes called the "scientific" notation) greatly simplifies calculations, particularly with very large and very small numbers. It uses positive and negative exponents to create multiples and submultiples of 10:

- 4 raised to the power of 2 is written $4^2$ = 16.
- -4 raised to the power of 2 is written $(-4)^2$ = 16.
- -4 raised to the power of 3 is written $(-4)^3$ = -64. This is calculated as (-4 x -4 x -4) = -(4 x 4 x 4) = -64
- 0 raised to the 0 power ($0^0$) the answer is 1, thus $0^0 = 1$. Generally, any number raised to the zeroth power equals one.

#### Some more examples

1000 = 10 x 10 x 10 = 10^{3}100 = 10 x 10 = 10^{2}10 = 10 = 10^{1}1 = 10^{0}0.1 = 1/10 = 10^{-1}0.01 = 1/100 = 10^{-2}0.001 = 1/1000 = 10^{-3>}