Solve ((2.3)^-1*1/2^3)^-2

$$( ( 2.3 ) ^ { - 1 } \cdot \frac { 1 } { 2 ^ { 3 } } ) ^ { - 2 }$$

Evaluate

$$338.56$$

Solution Steps

Calculate 2.3 to the power of -1 and get \frac{10}{23}.

$$\left(\frac{10}{23}\times \frac{1}{2^{3}}\right)^{-2}$$

Calculate 2 to the power of 3 and get 8.

$$\left(\frac{10}{23}\times \frac{1}{8}\right)^{-2}$$

Multiply \frac{10}{23} and \frac{1}{8} to get \frac{5}{92}.

$$\left(\frac{5}{92}\right)^{-2}$$

Calculate \frac{5}{92} to the power of -2 and get \frac{8464}{25}.

$$\frac{8464}{25}$$

Factor

$$\frac{2 ^ {4} \cdot 23 ^ {2}}{5 ^ {2}} = 338\frac{14}{25} = 338.56$$