Math Problem Statement

Image of math exercises covering topics such as exponents, roots, and properties of powers.

Solution

Thank you for the image! I see it's a page of math exercises (in Dutch) covering exponents, roots, and properties of powers. Let's go through it step by step. Please let me know which specific exercise you'd like me to solve or explain. Alternatively, I can break down all the tasks one by one.

Let me know how you'd like to proceed! 😊

  1. Do you want to start with Exercise 8, showing why a3=a13\sqrt[3]{a} = a^{\frac{1}{3}}?
  2. Shall I calculate some of the problems in Exercise 9 (e.g., 8−138^{-\frac{1}{3}}, 271327^{\frac{1}{3}})?
  3. Should I explain Exercise 10, where you write numbers as powers of 3?
  4. Would you like help simplifying expressions in Exercise 11?
  5. Need assistance with rewriting the roots using the property in Exercise 12?

Tip:

Remember, fractional exponents represent roots, and negative exponents represent reciprocals. For example, a−1n=1a1na^{-\frac{1}{n}} = \frac{1}{a^{\frac{1}{n}}}.

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Math Problem Analysis

Mathematical Concepts

Exponents
Roots
Fractional Exponents
Simplifying Expressions
Properties of Powers

Formulas

a^(m/n) = (n√a)^m
a^(-n) = 1/a^n
(a*b)^n = a^n * b^n
n√(a*b) = n√a * n√b

Theorems

Laws of Exponents
Properties of Radicals

Suitable Grade Level

Grades 10-12