Here are some practice questions based on the given image:

Practice Questions:

1. Simplify the following expression:
   $\left( \frac{125}{625} \right)^{-2/3} \times \left( \frac{81}{27} \right)^{1/2} \div \left( \frac{16}{64} \right)^{-3/4}$

2. Evaluate the exponentiation:
   $\left( \frac{36^5}{216^3} \right)^{-1/2}$

3. Simplify the algebraic expression:
   $\frac{x^4 \cdot y^{-2}}{z^3} \times \frac{x^{-6} \cdot y^5}{z^{-1}} \div \frac{x^3 \cdot y^4}{z^{-2}}$

4. Rewrite the expression with positive exponents:
   $(x^{-3} y^4 z^{-5})^{-2} \times (x^2 y^{-3} z^4)^{3}$

5. Evaluate the numerical expression:
   $512^{1/3} - 64^{2/3} + 243^{4/5} \times 27^{-1}$

Tip:

When simplifying expressions with exponents, always follow the order of operations (PEMDAS) and apply exponent rules carefully.