https://file.aiquickdraw.com/mathbot/file/1725591362195bkt9fhxn.jpg

Let's break down and analyze the mathematical problems from your image:

### 1. Problem 18:
This involves basic operations with scientific notation. The two subproblems are:

- **(a) $ 1.6 \times 10^5 \div 4 \times 10^2 $**  
- **(b) $ 8.8 \times 10^8 \times 3.3 \times 10^{-4} $**

Both require the use of rules for multiplying and dividing numbers in scientific notation.

### 2. Problem 19:
Again, this asks to simplify expressions involving powers of 10:

- **(a) $ 4 \times 10^7 \div 8 \times 10^3 $**
- **(b) $ 2.1 \times 10^{-8} \times 6 \times 10^9 $**

These also require multiplying or dividing the numbers and combining powers of 10.

### 3. Problem 22:
Here, the task involves writing two movie box office values in both decimal and scientific notation formats.

The movies and box office values provided are:
- **"Wonder 2" with $250.7 million**
- **"Secret Life of Pets" with $368.4 million**

For this, the decimal values will need to be converted into scientific notation (e.g., $ 2.507 \times 10^8 $).

### 4. Problem 23:
This involves geometry, specifically a right triangle:

- Given: The dimensions of a giant rectangular prism are given. The height and the prism's base diagonal need to be calculated using the Pythagorean Theorem.

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Would you like me to solve each of these step-by-step?

The user submitted an image containing several math problems related to operations with scientific notation and geometric calculations.

This guide provides step-by-step solutions to problems involving scientific notation and geometry. Learn how to perform operations with powers of 10 and apply the Pythagorean Theorem for calculating diagonal lengths. Suitable for Grades 8-10.

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