Math Problem Statement

Solved it

Calculate the values of the following exponent expressions: 3^2, 2^5, 4^3, 7^2.

Solution

The image shows a section of a worksheet on exponents and roots, written in Catalan. It explains the concept of exponents, using the example aaaaa=a5a \cdot a \cdot a \cdot a \cdot a = a^5. The term "Es llegeix a elevat a la cinquena potència" translates to "It is read as 'a' raised to the fifth power."

The exercises ask to calculate the values of different expressions involving exponents:

  1. 323^2
  2. 252^5
  3. 434^3
  4. 727^2

Let's solve these:

  1. 323^2 = 3×3=93 \times 3 = 9
  2. 252^5 = 2×2×2×2×2=322 \times 2 \times 2 \times 2 \times 2 = 32
  3. 434^3 = 4×4×4=644 \times 4 \times 4 = 64
  4. 727^2 = 7×7=497 \times 7 = 49

Would you like a detailed explanation of exponents, or do you have any other questions?

Related Questions:

  1. What is the general formula for calculating exponents?
  2. How do negative exponents work, and what do they represent?
  3. Can you explain the properties of exponents, such as the product rule and quotient rule?
  4. What is the difference between powers and roots?
  5. How can exponents be applied in real-world situations?

Tip: Remember, when raising a number to a power, you're multiplying the base by itself as many times as the exponent indicates.

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Math Problem Analysis

Mathematical Concepts

Exponents
Powers

Formulas

a^n = a * a * ... (n times)
Base and exponent relationship: a^n

Theorems

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Suitable Grade Level

Grades 7-9