Solve =2/5^2*(6^3/2^3*2/3)^-2

$$= \frac { 2 } { 5 ^ { 2 } } \cdot ( \frac { 6 ^ { 3 } } { 2 ^ { 3 } } \cdot \frac { 2 } { 3 } ) ^ { - 2 }$$

Evaluate

$$\frac{1}{4050}\approx 0.000246914$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{2}{25}\times \left(\frac{6^{3}}{2^{3}}\times \frac{2}{3}\right)^{-2}$$

Calculate 6 to the power of 3 and get 216.

$$\frac{2}{25}\times \left(\frac{216}{2^{3}}\times \frac{2}{3}\right)^{-2}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{2}{25}\times \left(\frac{216}{8}\times \frac{2}{3}\right)^{-2}$$

Divide 216 by 8 to get 27.

$$\frac{2}{25}\times \left(27\times \frac{2}{3}\right)^{-2}$$

Multiply 27 and \frac{2}{3} to get 18.

$$\frac{2}{25}\times 18^{-2}$$

Calculate 18 to the power of -2 and get \frac{1}{324}.

$$\frac{2}{25}\times \frac{1}{324}$$

Multiply \frac{2}{25} and \frac{1}{324} to get \frac{1}{4050}.

$$\frac{1}{4050}$$

Factor

$$\frac{1}{2 \cdot 3 ^ {4} \cdot 5 ^ {2}} = 0.0002469135802469136$$