How do you calculate 3 to the power of 3?

Multiply 3 by itself 3 times: 3 × 3 × 3 = 27.

Is 3 to the power of 3 the same as 3 cubed?

Yes. Raising a number to the power of 3 is the same operation as cubing it. So 3³ = 3^3 = 27.

3 to the power of 3 = 27

Quick Answer

3 to the power of 3 = 27

3 × 3 × 3 = 27

Exponents Calculator

Squared (n²) Cubed (n³) √n ∛n Exponents (bⁿ)

Step-by-Step: 3 to the power of 3

Multiply the base 3 by itself 3 times:

3 × 3 × 3 = 27

Same as 3 Cubed

Since the exponent is 3, this calculation is the same as 3 cubed:

3³ = 27

See our dedicated 3 Cubed page for the cube table and the inverse (cube root) cross-link.

Table of Powers of 3

n	3ⁿ
-5	0.004115226337
-4	0.012345679012
-3	0.037037037037
-2	0.111111111111
-1	0.333333333333
0	1
1	3
2	9
3	27
4	81
5	243
6	729
7	2187
8	6561
9	19683
10	59049

Nearby Exponent Examples

Expression	Result
2⁴	16
2³	8
2⁵	32
3²	9
3⁴	81
5²	25

Notation and Properties of Exponents

The expression bⁿ is read as "b to the power of n", where b is the base and n is the exponent. Several common-language equivalents:

b² = "b squared" (the area of a square with side b)
b³ = "b cubed" (the volume of a cube with edge b)
bⁿ = "b to the nth" (general usage)

Key rules

Zero Rule: b⁰ = 1 for any b ≠ 0
One Rule: 1ⁿ = 1 for any n
Negative exponent: b⁻ⁿ = 1 / bⁿ
Fractional exponent: b^1/n = ⁿ√b (e.g. b^0.5 = √b)
Product rule: b^m × bⁿ = b^m+n
Power rule: (b^m)ⁿ = b^m·n

Constants supported

This calculator accepts the mathematical constants pi (π ≈ 3.14159) and e (Euler's number ≈ 2.71828), with optional leading minus (-pi, -e) for negative variants.

References

Sample Exponent Calculations

Calculate powers of these numbers:

Related Calculators

Squared (n²) — exponent fixed at 2
Cubed (n³) — exponent fixed at 3
Square Root (√n) — exponent fixed at 1/2
Cube Root (∛n) — exponent fixed at 1/3
Logarithm Calculator — the inverse of exponentiation