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This document appears to be a math test in German, titled "Teste dich selbst!" (Test yourself!). It includes exercises on exponentiation, roots, logarithms, unit conversion, and functions. Below is an overview of each section:

### 14. Potenzieren (Exponentiation)
Simplify the given expressions involving exponents.

### 15. Umwandeln von Wurzeln in rationale Hochzahlen (Converting roots to rational exponents)
Convert roots to expressions with rational exponents, and vice versa.

### 16. Rechnen mit Wurzeln (Calculations with roots)
Simplify the given root expressions as much as possible.

### 17. Logarithmische Umformungen (Logarithmic transformations)
Identify the numbers that fit the logarithmic expressions so that the statements are true.

### 18. Zehnerpotenzen (Powers of ten)
Write numbers in scientific notation (with and without powers of ten).

### 19. Maßeinheiten umrechnen (Unit conversion)
Convert units such as dm (decimeter), ha (hectare), g (gram), etc.

### 20. Zähneputzen im Laufe eines Lebens (Teeth brushing during a lifetime)
Calculate how many days a person spends brushing their teeth over an 80-year lifespan.

### 21. Wertetabelle und Schaubilder für Funktionen (Function table and graph)
Create a table of values for two given functions and draw their graphs in a common coordinate system.

### 22. Handelt es sich um eine Funktion? (Is this a function?)
Determine if a given set of inputs and outputs represents a function.

If you'd like, I can work through any of these problems or provide step-by-step explanations.

Would you like details on any specific problem? Here are some related questions to explore:

1. How do you convert roots into rational exponents?
2. What are the properties of logarithms that can help solve problem 17?
3. How do you calculate powers of ten?
4. Can you explain the process of unit conversion, specifically for question 19?
5. How do you determine if a table of values represents a function?

**Tip:** When converting roots to exponents, remember that \(\sqrt[n]{x} = x^{1/n}\).

The image contains math problems from a German worksheet titled 'Teste dich selbst!' (Test yourself). These cover topics such as exponentiation, roots, logarithms, unit conversion, and functions.

This worksheet covers essential topics like exponentiation, rational exponents, roots, logarithms, unit conversion, and functions. It is designed for students in Grades 8-10 and provides practice with simplifying expressions, converting units, and identifying functions.

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