(1/3)9x9x9

less than a minute read Jun 16, 2024
(1/3)9x9x9

Understanding (1/3)⁹ x ⁹ x ⁹

This expression involves several mathematical operations, let's break it down step-by-step:

1. Exponent: (1/3)⁹

This part of the expression represents (1/3) multiplied by itself nine times.

Calculation: (1/3)⁹ = (1/3) * (1/3) * (1/3) * (1/3) * (1/3) * (1/3) * (1/3) * (1/3) * (1/3) = 1/19683

2. Multiplication: (1/19683) x ⁹ x ⁹

Now we have the result of the exponent and need to multiply it by 9 and then again by 9.

Calculation: (1/19683) x ⁹ x ⁹ = (9/19683) x ⁹ = 81/19683

Simplifying the Result

The fraction 81/19683 can be simplified by finding the greatest common factor (GCF) of the numerator and denominator. In this case, the GCF is 81.

Simplified Result: 81/19683 ÷ 81/81 = 1/243

Conclusion

Therefore, (1/3)⁹ x ⁹ x ⁹ simplifies to 1/243.

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