Solve (1/3)^frac{200{2}}*frac{sqrt{201}}{3}

$$( \frac { 1 } { 3 } ) ^ { \frac { 200 } { 2 } } \times \frac { \sqrt { 201 } } { 3 }$$

Evaluate

$$\frac{\sqrt{201}}{1546132562196033993109383389296863818106322566003}\approx 9.169619233 \cdot 10^{-48}$$

Solution Steps

Divide 200 by 2 to get 100.

$$\left(\frac{1}{3}\right)^{100}\times \frac{\sqrt{201}}{3}$$

Calculate \frac{1}{3} to the power of 100 and get \frac{1}{515377520732011331036461129765621272702107522001}.

$$\frac{1}{515377520732011331036461129765621272702107522001}\times \frac{\sqrt{201}}{3}$$

Multiply \frac{1}{515377520732011331036461129765621272702107522001} times \frac{\sqrt{201}}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\sqrt{201}}{515377520732011331036461129765621272702107522001\times 3}$$

Multiply 515377520732011331036461129765621272702107522001 and 3 to get 1546132562196033993109383389296863818106322566003.

$$\frac{\sqrt{201}}{1546132562196033993109383389296863818106322566003}$$