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Let's go through the exercises from the image you've uploaded. These are calculations involving powers, fractions, and basic operations. I'll provide step-by-step solutions for each expression.

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### 65. Apskaičiuokite (Calculate):

#### a) \( 10 - (2^5 \cdot 2^{-4} + 2^1) \)
1. Calculate the powers: 
   - \( 2^5 = 32 \)
   - \( 2^{-4} = \frac{1}{16} \)
   - \( 2^1 = 2 \)

2. Multiply and add inside the parentheses:
   \[
   32 \cdot \frac{1}{16} = 2, \quad 2 + 2 = 4
   \]

3. Subtract:
   \[
   10 - 4 = 6
   \]

Answer: \( 6 \)

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#### b) \( (3^2)^2 - \left(5^2 + \frac{1}{2^2}\right) \)
1. Calculate the powers:
   - \( (3^2)^2 = 9^2 = 81 \)
   - \( 5^2 = 25 \)
   - \( \frac{1}{2^2} = \frac{1}{4} \)

2. Add inside the parentheses:
   \[
   25 + \frac{1}{4} = 25.

Calculate: (Various expressions involving powers, fractions, and arithmetic operations)

Explore detailed solutions for complex expressions involving powers, fractions, and arithmetic. This problem set covers the use of exponent rules, order of operations, and fraction manipulation, perfect for students in Grades 9-11.

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