Math Problem Statement

What is the result of 2 raised to the power of 5?

Solution

The image shows a mathematical expression: 252^5.

Solution:

To calculate 252^5: 25=2×2×2×2×22^5 = 2 \times 2 \times 2 \times 2 \times 2 Step-by-step:

  1. 2×2=42 \times 2 = 4
  2. 4×2=84 \times 2 = 8
  3. 8×2=168 \times 2 = 16
  4. 16×2=3216 \times 2 = 32

Thus, 25=322^5 = 32.


Would you like further clarification or additional examples?

5 Related Questions:

  1. What is 262^6 and how does it differ from 252^5?
  2. Can you explain the general rule for calculating aba^b?
  3. What is the significance of powers of 2 in computer science?
  4. How do you simplify (23)×(22)(2^3) \times (2^2)?
  5. What happens when 252^5 is divided by 222^2?

Tip:

When working with exponents, remember that am×an=am+na^m \times a^n = a^{m+n}.

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Math Problem Analysis

Mathematical Concepts

Exponents
Powers of Numbers

Formulas

a^b = a × a × ... (b times)

Theorems

Exponentiation properties

Suitable Grade Level

Grades 5-7