Can I raise any number to any power?

Yes. This calculator works with any finite base and exponent: Positive integers: 2^10 = 1,024 Decimal bases: 1.5^4 = 5.0625 Negative bases: (-2)^3 = -8, (-2)^4 = 16 Fractional exponents: 8^(1/3) = 2 (cube root) Decimal exponents: 2^0.5 = 1.41421... (square root) Zero exponent: any^0 = 1 Negative exponents: 2^(-3) = 0.125 (= 1/8) For very large results (base^exp > 10 to the 15), the result is shown in scientific notation.

What does a negative exponent mean?

A negative exponent means take the reciprocal: base^(-n) = 1 / base^n Examples: 2^(-1) = 1/2 = 0.5 2^(-3) = 1/8 = 0.125 10^(-2) = 1/100 = 0.01 5^(-2) = 1/25 = 0.04 Negative exponents appear naturally in scientific notation: 1 nanometre = 10^(-9) metres.

What does a fractional exponent mean?

A fractional exponent is a root: base^(1/2) = square root of base base^(1/3) = cube root of base base^(m/n) = nth root of (base^m) Examples: 4^(0.5) = sqrt(4) = 2 8^(1/3) = cbrt(8) = 2 16^(0.25) = 4th root of 16 = 2 27^(2/3) = cbrt(27^2) = cbrt(729) = 9 This is why x^0.5 on a calculator gives the square root.

What are the exponent laws?

The six fundamental exponent laws: 1. Product rule: base^m x base^n = base^(m+n) Example: 2^3 x 2^4 = 2^7 = 128 2. Quotient rule: base^m / base^n = base^(m-n) Example: 2^5 / 2^2 = 2^3 = 8 3. Power rule: (base^m)^n = base^(m x n) Example: (2^3)^2 = 2^6 = 64 4. Zero exponent: base^0 = 1 (for base not equal to 0) 5. Negative exponent: base^(-n) = 1 / base^n 6. Fractional exponent: base^(1/n) = nth root of base

How does the shareable URL work?

The SHARE button creates a URL with your base and exponent as parameters: https://eaglecalculator.com/math/algebra/raise-to-the-power-mega?base=2&exp=10 Anyone opening this link sees 2^10 = 1,024 automatically loaded. You can edit the URL directly to change ?base= and ?exp= to any values. Useful for: sending a specific calculation to a student, bookmarking frequently used powers, or embedding in a message or document.

Raise to the Power Mega — Any Base, Any Exponent

The Raise to the Power Mega calculates any base raised to any exponent instantly. Enter any base and exponent — integers, decimals, negative numbers, and fractional exponents all work. See the result, multiplication chain for small integer powers, prime factorisation, exponent laws, and a growth bar...

BASE ^ EXPONENT

BASE

EXPONENT

2¹⁰ = 1,024

QUICK BASE

QUICK EXPONENT

2¹⁰ =

1,024

Base

Exponent

Result

1,024

Digits

Digit sum

Even / Odd

Even

Perfect square?

Yes ✓

Divisible by 10?

SAME VALUE — OTHER FORMS

4⁵ = 1,024

PRIME FACTORISATION

1,024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

GROWTH OF 2ⁿ (n = 1 to 10)

2¹

2²

2³

2⁴

2⁵

2⁶

2⁷

128

2⁸

256

2⁹

512

2¹⁰

1,024

EXPONENT LAWS

2¹⁰ × 2= 2¹¹ = 2,048

2¹⁰ × 2¹⁰= 2²⁰ = 1,048,576

2¹⁰ ÷ 2= 2⁹ = 512

(2¹⁰)²= 2²⁰ = 1,048,576

√(2¹⁰)= 2⁵ ≈ 32

POWERS OF 2 (1–10)

Click any row to set that exponent

SPECIAL CASES

n⁰= 1 for any n ≠ 0

n¹= n (identity)

0ⁿ= 0 for n > 0

1ⁿ= 1 for any n

(−1)ⁿ= 1 if n even, −1 if n odd

nⁿn to itself: 2²=4, 3³=27, 4⁴=256...

Created with❤️byeaglecalculator.com

HOW TO USE

1
Enter any base in the left box and any exponent in the right box. Both accept integers, decimals, and negative numbers. The result updates instantly as you type.
2
Use the Quick Base buttons (2-10) and Quick Exponent buttons (1-20) to jump to common values instantly. Clicking a row in the powers table on the right also sets that exponent.
3
The result is shown in green on a dark background. For large results (over 10 to the 15), scientific notation is used. The multiplication chain is shown for small integer exponents up to 8.
4
Click COPY to copy the result string (e.g. '2 to the 10 = 1,024'). Click SHARE to copy a direct URL — anyone opening it sees your exact base and exponent pre-loaded (?base=2&exp=10).
5
The powers table on the right shows all 10 powers of your chosen base (base to the 1 through base to the 10). Click any row to switch the exponent. The growth bar visualises exponential scaling up to 10 steps.

WORKED EXAMPLES

2^10: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 1,024. 1.5^4: 1.5 x 1.5 x 1.5 x 1.5 = 5.0625. (-2)^5: negative base with odd exponent = -(2^5) = -32. 2^(-3): negative exponent = 1/2^3 = 1/8 = 0.125. 8^(1/3): fractional exponent = cube root of 8 = 2.

FREQUENTLY ASKED QUESTIONS

INDIVIDUAL POWER PAGES (2–10 ^ 1–10)

base^exp	^1	^2	^3	^4	^5	^6	^7	^8	^9	^10
2	2	4	8	16	32	64	128	256	512	1,024
3	3	9	27	81	243	729	2,187	6,561	19,683	59,049
4	4	16	64	256	1,024	4,096	16,384	65,536	262,144	1,048,576
5	5	25	125	625	3,125	15,625	78,125	390,625	1,953,125	9,765,625
6	6	36	216	1,296	7,776	46,656	279,936	1,679,616	10,077,696	60,466,176
7	7	49	343	2,401	16,807	117,649	823,543	5,764,801	40,353,607	282,475,249
8	8	64	512	4,096	32,768	262,144	2,097,152	16,777,216	134,217,728	1,073,741,824
9	9	81	729	6,561	59,049	531,441	4,782,969	43,046,721	387,420,489	3,486,784,401
10	10	100	1,000	10,000	100,000	1,000,000	10,000,000	100,000,000	1,000,000,000	10,000,000,000

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Last updated: April 28, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.