I can help you solve the questions from the image you've uploaded. The questions appear to be multiple-choice math problems. Let's go through a few of them step by step.

Question 1:

$(-2x)^5 = ?$

• Solution: Apply the power rule: $(-2x)^5 = (-2)^5 \cdot x^5 = -32x^5$
• Answer: B. $-32x^5$

Question 2:

$(2a)^4 = ?$

• Solution: Apply the power rule: $(2a)^4 = 2^4 \cdot a^4 = 16a^4$
• Answer: A. $16a^4$

Question 3:

$(4 \times 5^2) \times (7 \times 5^{-6}) = ?$

• Solution: Combine the powers of $5$: $4 \times 7 \times 5^{2 + (-6)} = 28 \times 5^{-4}$
• Answer: C. $28 \times 5^{-4}$

Would you like more detailed steps or explanations for specific questions? Here are some follow-up questions related to these problems:

1. How would the power rule apply if the exponents were negative?
2. What happens when multiplying exponents with the same base?
3. How can you simplify expressions with multiple terms involving exponents?
4. How do you handle fractional exponents?
5. How can you verify your answers to these exponent problems?

Tip:

When working with exponents, always remember to apply the rules systematically, especially when dealing with negative exponents or combining terms.