Exponent Kalkulator

Calculate powers and exponents. Find the result of any base raised to any power.

Cara menggunakan kalkulator ini

Masukkan Base
Masukkan Exponent
Klik tombol Hitung
Baca hasil yang ditampilkan di bawah kalkulator

Exponent Rules

Exponents represent repeated multiplication: a^n = a × a × ... × a (n times). Key rules:

Product: a^m × a^n = a^(m+n)
Quotient: a^m / a^n = a^(m−n)
Power of a power: (a^m)^n = a^(m×n)
Zero exponent: a^0 = 1 (for any a not equal to 0)
Negative exponent: a^(−n) = 1/a^n
Fractional exponent: a^(1/n) = nth root of a

Large Numbers and Scientific Notation

Exponents make large and small numbers manageable. The observable universe is about 8.8 × 10^26 meters across. A hydrogen atom is about 1.2 × 10^(−10) meters. Without exponents, these numbers would be impossibly long to write.

Common powers of 2: 2^10 = 1,024 (≈1 thousand, basis of KB). 2^20 = 1,048,576 (≈1 million, MB). 2^30 ≈ 1 billion (GB). 2^40 ≈ 1 trillion (TB).

Exponential Growth

Exponential growth means a quantity multiplies by a constant factor in each time period. Examples: population growth, compound interest, viral spread, Moore's Law (transistor count doubling every ~2 years).

The key insight: exponential growth starts slow then becomes explosive. Doubling a penny daily for 30 days gives $5.37 million on day 30. Day 20 was only $5,243. Most of the growth happens in the final few doublings.

Terakhir diperbarui: March 2026

Frequently Asked Questions

What is 0 to the power of 0?

Mathematically, 0^0 is typically defined as 1 by convention in combinatorics and most computational contexts. However, in analysis/calculus it is sometimes considered indeterminate. For practical calculations, most systems treat 0^0 = 1.

What is the difference between 2^3 and 3^2?

2^3 = 2×2×2 = 8 (base 2, exponent 3). 3^2 = 3×3 = 9 (base 3, exponent 2). They are different operations — exponentiation is not commutative. The base and exponent are not interchangeable.

How do I calculate large exponents without a calculator?

Use the power rules to break them down. For 2^20: 2^10 = 1,024, so 2^20 = (2^10)^2 = 1,024^2 = 1,048,576. For estimation, use logarithms or the approximation 2^10 ≈ 10^3.