9 to the Power of 3 — 9³ = 729

9 to the power of 3 (9³) equals 729. This means 9 x 9 x 9 = 729. Result has 3 digits, prime factorisation 3 x 3 x 3 x 3 x 3 x 3....

9³ = ?

9 TO THE POWER OF 3

729

9³ = 9 × 9 × 9 = 729

Value

729

Base

9

Exponent

3

Number of digits

3

Digit sum

18

Even or odd?

Odd

Divisible by 10?

No

Perfect square?

Yes ✓

STEP-BY-STEP

1

9³ means multiply 9 by itself 3 times

2

9

9 × 9 = 81

81 × 9 = 729

3

9³ = 729

PRIME FACTORISATION

729 = 3 × 3 × 3 × 3 × 3 × 3

= 9³ (all factors are 9)

SAME VALUE — OTHER BASES

3⁶ = 729

FUN FACT

729 equals 3 to the 6 and 27 squared.

POWERS OF 9 (1 → 3)

9¹
9
9²
81
9³
729

ALL POWERS OF 9 (1–10)

EXPONENT LAWS

9³ × 9= 9⁴ = 6,561
9³ × 9³= 9⁶ = 531,441
9³ ÷ 9= 9² = 81
√(9³)= 9² = 27 (exact)
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HOW TO CALCULATE

  1. 1

    9³ means multiply 9 by itself 3 times.

  2. 2

    Multiplication chain: 9 x 9 x 9 = 729.

  3. 3

    The result is 729 - 3 digits, prime factorisation: 3 x 3 x 3 x 3 x 3 x 3.

  4. 4

    Check: 9² x 9 = 81 x 9 = 729.

WORKED EXAMPLE

9³ = 9 x 9 x 9 = 729. Digits: 3. Prime factors: 3 x 3 x 3 x 3 x 3 x 3. Also: 3⁶ = 729.

FREQUENTLY ASKED QUESTIONS

OTHER BASES TO THE POWER OF 3

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