Power of 10 Calculator
Calculate 10 raised to any power with detailed explanations and scientific notation
Calculate 10^x
Enter any number (positive, negative, or decimal)
Power of 10 Results
1
10^0 = 1
Equals 1 (any number to power 0)
Scientific Notation
1e+0
1 × 10^0
Step-by-Step Solution
•Calculate: 10^0
•Rule: Any number to the power of 0 equals 1
•Therefore: 10^0 = 1
Logarithm Check
log₁₀(1) = 0
Common Powers of 10
10³
10 × 10 × 10 = 1,000
One thousand
10⁶
1 followed by 6 zeros = 1,000,000
One million
10⁻³
1/10³ = 1/1000 = 0.001
One thousandth
10⁰
Any number⁰ = 1
One (zero power rule)
Powers of 10 Reference
10^12(Trillion)
10^9(Billion)
10^6(Million)
10^3(Thousand)
10^2(Hundred)
10^1(Ten)
10^0(One)
10^-1(Tenth)
10^-2(Hundredth)
10^-3(Thousandth)
Quick Presets
Understanding Powers of 10
What is a Power of 10?
A power of 10 is 10 raised to any exponent. It's written as 10^x, where x is the exponent. Powers of 10 are fundamental in mathematics and science, especially in scientific notation and metric system conversions.
Types of Exponents
- •Positive integers: 10^3 = 1,000 (1 followed by 3 zeros)
- •Zero: 10^0 = 1 (any number to power 0 equals 1)
- •Negative integers: 10^(-2) = 0.01 (reciprocal)
- •Decimals: 10^0.5 = √10 ≈ 3.162
Calculation Rules
Positive Exponents
10^n = 1 followed by n zeros
10^3 = 1000
Negative Exponents
10^(-n) = 1/(10^n) = 0.00...01
10^(-3) = 0.001
Scientific Notation
Large/small numbers as a×10^n
1,500 = 1.5×10^3
Applications
- •Scientific notation for very large/small numbers
- •Metric system prefixes (kilo, mega, milli, micro)
- •Computer science and digital systems
- •Logarithmic scales (pH, Richter scale, decibels)
Metric System Prefixes
Large Numbers
- • Tera (T) = 10¹²
- • Giga (G) = 10⁹
- • Mega (M) = 10⁶
- • Kilo (k) = 10³
Base Unit
- • Base unit = 10⁰ = 1
- • Meter, gram, second, etc.
Small Numbers
- • Milli (m) = 10⁻³
- • Micro (μ) = 10⁻⁶
- • Nano (n) = 10⁻⁹
- • Pico (p) = 10⁻¹²