Solve frac{sqrt{552}}{left(14^2right)^2}

$$\frac{ \sqrt{ 552 } }{ { \left( { 14 }^{ 2 } \right) }^{ 2 } }$$

Evaluate

$$\frac{\sqrt{138}}{19208}\approx 0.000611586$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{\sqrt{552}}{14^{4}}$$

Factor 552=2^{2}\times 138. Rewrite the square root of the product \sqrt{2^{2}\times 138} as the product of square roots \sqrt{2^{2}}\sqrt{138}. Take the square root of 2^{2}.

$$\frac{2\sqrt{138}}{14^{4}}$$

Calculate 14 to the power of 4 and get 38416.

$$\frac{2\sqrt{138}}{38416}$$

Divide 2\sqrt{138} by 38416 to get \frac{1}{19208}\sqrt{138}.

$$\frac{1}{19208}\sqrt{138}$$