Solve 4^-1+32^-3:5/8-0.4

$$4 ^ { - 1 } + 32 ^ { - 3 } : \frac { 5 } { 8 } - 0.4$$

Evaluate

$$-0.149951171875$$

Solution Steps

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

$$\frac{1}{4}+\frac{32^{-3}}{\frac{5}{8}}-0.4$$

Calculate 32 to the power of -3 and get \frac{1}{32768}.

$$\frac{1}{4}+\frac{\frac{1}{32768}}{\frac{5}{8}}-0.4$$

Divide \frac{1}{32768} by \frac{5}{8} by multiplying \frac{1}{32768} by the reciprocal of \frac{5}{8}.

$$\frac{1}{4}+\frac{1}{32768}\times \frac{8}{5}-0.4$$

Multiply \frac{1}{32768} and \frac{8}{5} to get \frac{1}{20480}.

$$\frac{1}{4}+\frac{1}{20480}-0.4$$

Add \frac{1}{4} and \frac{1}{20480} to get \frac{5121}{20480}.

$$\frac{5121}{20480}-0.4$$

Subtract 0.4 from \frac{5121}{20480} to get -\frac{3071}{20480}.

$$-\frac{3071}{20480}$$

Factor

$$-0.149951171875$$