Solve 8-1*15*5^-3/2^-4*3^-1

$$\frac { 8 - 1 \times 15 \times 5 ^ { - 3 } } { 2 ^ { - 4 } \times 3 ^ { - 1 } }$$

Evaluate

$$\frac{9456}{25}=378.24$$

Solution Steps

Multiply 1 and 15 to get 15.

$$\frac{8-15\times 5^{-3}}{2^{-4}\times 3^{-1}}$$

Calculate 5 to the power of -3 and get \frac{1}{125}.

$$\frac{8-15\times \frac{1}{125}}{2^{-4}\times 3^{-1}}$$

Multiply 15 and \frac{1}{125} to get \frac{3}{25}.

$$\frac{8-\frac{3}{25}}{2^{-4}\times 3^{-1}}$$

Subtract \frac{3}{25} from 8 to get \frac{197}{25}.

$$\frac{\frac{197}{25}}{2^{-4}\times 3^{-1}}$$

Calculate 2 to the power of -4 and get \frac{1}{16}.

$$\frac{\frac{197}{25}}{\frac{1}{16}\times 3^{-1}}$$

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

$$\frac{\frac{197}{25}}{\frac{1}{16}\times \frac{1}{3}}$$

Multiply \frac{1}{16} and \frac{1}{3} to get \frac{1}{48}.

$$\frac{\frac{197}{25}}{\frac{1}{48}}$$

Divide \frac{197}{25} by \frac{1}{48} by multiplying \frac{197}{25} by the reciprocal of \frac{1}{48}.

$$\frac{197}{25}\times 48$$

Multiply \frac{197}{25} and 48 to get \frac{9456}{25}.

$$\frac{9456}{25}$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 197}{5 ^ {2}} = 378\frac{6}{25} = 378.24$$