Solve (5/8)^23/8

$$( \frac { 5 } { 8 } ) ^ { 2 } \frac { 3 } { 8 }$$

Evaluate

$$\frac{75}{512}=0.146484375$$

Solution Steps

Calculate \frac{5}{8} to the power of 2 and get \frac{25}{64}.

$$\frac{25}{64}\times \frac{3}{8}$$

Multiply \frac{25}{64} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 3}{64\times 8}$$

Do the multiplications in the fraction \frac{25\times 3}{64\times 8}.

$$\frac{75}{512}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {9}} = 0.146484375$$