Solve 27^2+1/27^2

$${ 27 }^{ 2 } + \frac{ 1 }{ { 27 }^{ 2 } }$$

Evaluate

$$\frac{531442}{729}\approx 729.001371742$$

Solution Steps

Calculate 27 to the power of 2 and get 729.

$$729+\frac{1}{27^{2}}$$

Calculate 27 to the power of 2 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, add them by adding their numerators.

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

Add 531441 and 1 to get 531442.

$$\frac{531442}{729}$$

Factor

$$\frac{2 \cdot 41 \cdot 6481}{3 ^ {6}} = 729\frac{1}{729} = 729.0013717421125$$