Evaluate the following expression

Explanation

We read \(\left(\frac14\right)^3\) as "one-fourth raised to the third power," or as "one-fourth, cubed." 

• Since the exponent is 3, write the base, \(\frac14\), as a factor 3 time
  • \(\left(\frac14\right)^3 = \frac14 \cdot \frac14 \cdot \frac14\)
• Multiply the numerators.  Multiply the denominators
  • = \(\frac{1 \cdot 1 \cdot 1}{4 \cdot 4 \cdot 4} = \frac{1}{64}\)