Solve (1/4)^3-(1/4)^0-(1/4)^-3

$$( \frac { 1 } { 4 } ) ^ { 3 } - ( \frac { 1 } { 4 } ) ^ { 0 } - ( \frac { 1 } { 4 } ) ^ { - 3 }$$

Evaluate

$$-\frac{4159}{64}=-64.984375$$

Solution Steps

Calculate \frac{1}{4} to the power of 3 and get \frac{1}{64}.

$$\frac{1}{64}-\left(\frac{1}{4}\right)^{0}-\left(\frac{1}{4}\right)^{-3}$$

Calculate \frac{1}{4} to the power of 0 and get 1.

$$\frac{1}{64}-1-\left(\frac{1}{4}\right)^{-3}$$

Subtract 1 from \frac{1}{64} to get -\frac{63}{64}.

$$-\frac{63}{64}-\left(\frac{1}{4}\right)^{-3}$$

Calculate \frac{1}{4} to the power of -3 and get 64.

$$-\frac{63}{64}-64$$

Subtract 64 from -\frac{63}{64} to get -\frac{4159}{64}.

$$-\frac{4159}{64}$$

Factor

$$-\frac{4159}{64} = -64\frac{63}{64} = -64.984375$$