Solve (-1/64)^21/6

$$( \frac { - 1 } { 64 } ) ^ { 2 } \frac { 1 } { 6 }$$

Evaluate

$$\frac{1}{24576}\approx 0.00004069$$

Solution Steps

Fraction \frac{-1}{64} can be rewritten as -\frac{1}{64} by extracting the negative sign.

$$\left(-\frac{1}{64}\right)^{2}\times \frac{1}{6}$$

Calculate -\frac{1}{64} to the power of 2 and get \frac{1}{4096}.

$$\frac{1}{4096}\times \frac{1}{6}$$

Multiply \frac{1}{4096} and \frac{1}{6} to get \frac{1}{24576}.

$$\frac{1}{24576}$$

Factor

$$\frac{1}{2 ^ {13} \cdot 3} = 4.069010416666666 \times 10^{-5}$$