https://file.aiquickdraw.com/mathbot/file/1726051358413eqqxdve1.jpg

I see the image contains five mathematical expressions (problems 16–20). Let's solve them one by one:

### 16. \(\left( \frac{12 - 18}{3 - 5} \right) \times (-4)\)

1. \(12 - 18 = -6\)
2. \(3 - 5 = -2\)
3. \(\frac{-6}{-2} = 3\)
4. \(3 \times (-4) = -12\)

**Solution for 16:** \(-12\)

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### 17. \((2^4 - 24) - \left( \sqrt{36} \right) \div (-2)\)

1. \(2^4 = 16\)
2. \(16 - 24 = -8\)
3. \(\sqrt{36} = 6\)
4. \(6 \div (-2) = -3\)
5. \(-8 - (-3) = -8 + 3 = -5\)

**Solution for 17:** \(-5\)

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### 18. \(-3^2 + \sqrt{144} - (-2)^5 + \sqrt[3]{-64}\)

1. \(-3^2 = -9\) (Exponent takes precedence)
2. \(\sqrt{144} = 12\)
3. \((-2)^5 = -32\)
4. \(\sqrt[3]{-64} = -4\)
5. \(-9 + 12 - (-32) + (-4)\)
6. \(-9 + 12 + 32 - 4 = 31\)

**Solution for 18:** \(31\)

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### 19. \{\left[(-15 + 5) \times 2 + 8\right] - \frac{32}{8}\} - (-7)

1. \(-15 + 5 = -10\)
2. \(-10 \times 2 = -20\)
3. \(-20 + 8 = -12\)
4. \(\frac{32}{8} = 4\)
5. \(-12 - 4 = -16\)
6. \(-16 - (-7) = -16 + 7 = -9\)

**Solution for 19:** \(-9\)

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### 20. \((5 - 2)^3 \times 2 + \left[-4 + (-7)\right] \div (-2 + 4)^2\)

1. \(5 - 2 = 3\)
2. \(3^3 = 27\)
3. \(27 \times 2 = 54\)
4. \(-4 + (-7) = -11\)
5. \(-2 + 4 = 2\)
6. \(2^2 = 4\)
7. \(-11 \div 4 = -\frac{11}{4} = -2.75\)
8. \(54 + (-2.75) = 51.25\)

**Solution for 20:** \(51.25\)

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Do you want more details on any of these steps, or have any further questions?

Here are 5 related problems you can try:
1. Simplify \(\frac{16 - 9}{3 - 7} \times (-5)\)
2. Solve \((3^2 - 5) - \left( \sqrt{81} \right) \div (-3)\)
3. Simplify \(-4^2 + \sqrt{100} - (-3)^4\)
4. Solve \(\{(2 - 12) \times 5 + 10\} - \frac{50}{5}\)
5. Solve \((7 - 1)^2 \times 2 + [-3 + (-9)] \div (-3 + 5)^2\)

**Tip:** Always apply the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) carefully when simplifying complex expressions.

Solve the mathematical expressions provided in the image (problems 16–20).

Detailed solutions to algebraic expressions involving exponents, square roots, cubic roots, and the order of operations (PEMDAS). Suitable for high school students in Grades 9-11.

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