Solve 9^2-27^2/5^2

$${ 9 }^{ 2 } - \frac{ { 27 }^{ 2 } }{ { 5 }^{ 2 } }$$

Evaluate

$$\frac{1296}{25}=51.84$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$81-\frac{27^{2}}{5^{2}}$$

Calculate 27 to the power of 2 and get 729.

$$81-\frac{729}{5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$81-\frac{729}{25}$$

Convert 81 to fraction \frac{2025}{25}.

$$\frac{2025}{25}-\frac{729}{25}$$

Since \frac{2025}{25} and \frac{729}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2025-729}{25}$$

Subtract 729 from 2025 to get 1296.

$$\frac{1296}{25}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {4}}{5 ^ {2}} = 51\frac{21}{25} = 51.84$$