To simplify \( 64^{-1/2} \), we can break it down step by step.
- The expression \( 64^{-1/2} \) can be rewritten using the property of exponents:
\[ 64^{-1/2} = \frac{1}{64^{1/2}} \]
- Next, we find \( 64^{1/2} \), which is the square root of 64:
\[ 64^{1/2} = \sqrt{64} = 8 \]
- Now, substitute this back into the expression:
\[ 64^{-1/2} = \frac{1}{8} \]
Thus, the simplified form of \( 64^{-1/2} \) is
\[ \boxed{\frac{1}{8}} \]