Solve (1/8)^3/(frac{1{8})^5}

$$\frac { ( \frac { 1 } { 8 } ) ^ { 3 } } { ( \frac { 1 } { 8 } ) ^ { 5 } }$$

Evaluate

$$64$$

Solution Steps

Rewrite \left(\frac{1}{8}\right)^{5} as \left(\frac{1}{8}\right)^{3}\times \left(\frac{1}{8}\right)^{2}. Cancel out \left(\frac{1}{8}\right)^{3} in both numerator and denominator.

$$\frac{1}{\left(\frac{1}{8}\right)^{2}}$$

Calculate \frac{1}{8} to the power of 2 and get \frac{1}{64}.

$$\frac{1}{\frac{1}{64}}$$

Divide 1 by \frac{1}{64} by multiplying 1 by the reciprocal of \frac{1}{64}.

$$1\times 64$$

Multiply 1 and 64 to get 64.

$$64$$

Factor

$$2^{6}$$