Solve 110^2frac{1}2^3

$$110 ^ { 2 } \frac { 1 } { 2 } ^ { 3 }$$

Evaluate

$$\frac{3025}{2}=1512.5$$

Solution Steps

Calculate 110 to the power of 2 and get 12100.

$$12100\times \left(\frac{1}{2}\right)^{3}$$

Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.

$$12100\times \frac{1}{8}$$

Multiply 12100 and \frac{1}{8} to get \frac{12100}{8}.

$$\frac{12100}{8}$$

Reduce the fraction \frac{12100}{8} to lowest terms by extracting and canceling out 4.

$$\frac{3025}{2}$$

Factor

$$\frac{5 ^ {2} \cdot 11 ^ {2}}{2} = 1512\frac{1}{2} = 1512.5$$