Power of 10 Calculator — 10ⁿ
Raise 10 to any exponent and see the result in full and in scientific notation — useful for understanding orders of magnitude and place value.
Ten raised to the given exponent
- 1
Exponent
6 - 2
10ⁿ
10 ^ 6 = 1,000,000
How does this calculator work?
A power of 10 (10ⁿ) shifts the decimal point n places: positive n gives large numbers, negative n gives decimals, and 10⁰ = 1. Each step multiplies or divides by 10, forming the basis of our decimal number system and scientific notation.
Formula
How this is calculated
Powers of 10 form the backbone of our decimal number system and scientific notation. Each increase of 1 in the exponent multiplies the result by 10: 10¹ = 10, 10² = 100, 10³ = 1 000, and so on. This is why each digit in a number carries a place value that is ten times its neighbour to the right.
Negative exponents work symmetrically: 10⁻¹ = 0.1, 10⁻² = 0.01, 10⁻³ = 0.001. Fractional exponents are also valid — 10^0.5 = √10 ≈ 3.162. The calculator handles all real exponents using 64-bit floating-point arithmetic.
In science, powers of ten describe orders of magnitude: a nanometre is 10⁻⁹ m, a kilometre is 10³ m, the mass of a proton is about 10⁻²⁷ kg and the number of atoms in a mole is about 6 × 10²³ (Avogadro’s number). Scientific notation expresses any number as a value between 1 and 10 multiplied by a power of 10.
Frequently asked questions
10⁰ = 1. Any nonzero number raised to the power 0 equals 1 by convention. This is consistent with the pattern: 10³ ÷ 10 = 10², 10² ÷ 10 = 10¹, 10¹ ÷ 10 = 10⁰ = 1.
10⁻ⁿ = 1 ÷ 10ⁿ. So 10⁻³ = 1/1000 = 0.001. Negative powers give decimals less than 1 and are used for very small measurements like millimetres (10⁻³ m) or nanometres (10⁻⁹ m).
Scientific notation writes a number as a coefficient between 1 and 10 multiplied by a power of 10 — for example 3.0 × 10⁸ m/s for the speed of light. It compactly expresses very large or very small values.
Also known as
TG we-Calculate Editorial Team. (2026). Power of 10 Calculator — 10ⁿ [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/power-of-10-calculator
TG we-Calculate Editorial Team. "Power of 10 Calculator — 10ⁿ." TG we-Calculate. 2026. https://we-calculate.com/calculator/power-of-10-calculator.
TG we-Calculate Editorial Team, "Power of 10 Calculator — 10ⁿ," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/power-of-10-calculator
@misc{wecalculate_power_of_10_calculator, title = {Power of 10 Calculator — 10ⁿ}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/power-of-10-calculator}}, year = {2026}, note = {TG we-Calculate} }
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