Solve 4/5*sqrt{548^2^2}

$$\frac{ 4 }{ 5 \times \sqrt{ { 548 }^{ { 2 }^{ 2 } } } }$$

Evaluate

$$\frac{1}{375380}\approx 0.000002664$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{4}{5\sqrt{548^{4}}}$$

Calculate 548 to the power of 4 and get 90182492416.

$$\frac{4}{5\sqrt{90182492416}}$$

Calculate the square root of 90182492416 and get 300304.

$$\frac{4}{5\times 300304}$$

Multiply 5 and 300304 to get 1501520.

$$\frac{4}{1501520}$$

Reduce the fraction \frac{4}{1501520} to lowest terms by extracting and canceling out 4.

$$\frac{1}{375380}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 5 \cdot 137 ^ {2}} = 2.6639671799243434 \times 10^{-6}$$