💥 Calculate baseⁿ

^
=
1024
Try:

🔬 Number → Scientific Notation

Convert any large or small number to/from scientific notation.

🔬 Scientific Notation → Number

📋 Common Scientific Notation Examples

📋 Powers of 2

Essential for computer science, binary and memory sizing.

📋 Powers of 10

📋 Common Perfect Powers

📐 Exponent Rules

Product Rule

When multiplying same base, add exponents.

aᵐ × aⁿ = aᵐ⁺ⁿ

Example: 2³ × 2⁴ = 2⁷ = 128

Quotient Rule

When dividing same base, subtract exponents.

aᵐ ÷ aⁿ = aᵐ⁻ⁿ

Example: 3⁵ ÷ 3² = 3³ = 27

Power Rule

When raising a power to a power, multiply exponents.

(aᵐ)ⁿ = aᵐˣⁿ

Example: (2³)⁴ = 2¹² = 4096

Zero Exponent

Any non-zero base raised to 0 is 1.

a⁰ = 1 (for a ≠ 0)

Examples: 5⁰ = 1, 100⁰ = 1, (−7)⁰ = 1

Negative Exponent

Negative exponent means reciprocal.

a⁻ⁿ = 1 / aⁿ

Example: 2⁻³ = 1/2³ = 1/8 = 0.125

Fractional Exponent

Fractional exponent means root.

a^(1/n) = ⁿ√a (nth root)
a^(m/n) = ⁿ√(aᵐ) = (ⁿ√a)ᵐ

Examples:
8^(1/3) = ∛8 = 2
16^(3/4) = (⁴√16)³ = 2³ = 8

Power of a Product / Quotient

(a × b)ⁿ = aⁿ × bⁿ
(a / b)ⁿ = aⁿ / bⁿ

Example: (2×3)⁴ = 2⁴ × 3⁴ = 16 × 81 = 1296

Scientific Notation

Standard form: a × 10ⁿ (where 1 ≤ |a| < 10)

Moving decimal LEFT → positive exponent
Moving decimal RIGHT → negative exponent

5,000,000 = 5 × 10⁶
0.000042 = 4.2 × 10⁻⁵

❓ Frequently Asked Questions

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