Solve (9^3-1/9^3)

$$( 9 ^ { 3 } - \frac { 1 } { 9 ^ { 3 } } )$$

Evaluate

$$\frac{531440}{729}\approx 728.998628258$$

Solution Steps

Calculate 9 to the power of 3 and get 729.

$$729-\frac{1}{9^{3}}$$

Calculate 9 to the power of 3 and get 729.

$$729-\frac{1}{729}$$

Convert 729 to fraction \frac{531441}{729}.

$$\frac{531441}{729}-\frac{1}{729}$$

Since \frac{531441}{729} and \frac{1}{729} have the same denominator, subtract them by subtracting their numerators.

$$\frac{531441-1}{729}$$

Subtract 1 from 531441 to get 531440.

$$\frac{531440}{729}$$

Factor

$$\frac{2 ^ {4} \cdot 5 \cdot 7 \cdot 13 \cdot 73}{3 ^ {6}} = 728\frac{728}{729} = 728.9986282578875$$