Math Problem Statement

what is 4 to the power of 5

Solution

454^5 means multiplying 4 by itself five times:

45=4×4×4×4×4=10244^5 = 4 \times 4 \times 4 \times 4 \times 4 = 1024

So, 45=10244^5 = 1024.

Would you like to see how exponentiation works in general or have any further questions?


Here are five related questions you might find interesting:

  1. What is 464^6 and how does it differ from 454^5?
  2. How does 454^5 compare to 545^4?
  3. What is the value of 454^{-5}?
  4. Can you express 10241024 in terms of other powers?
  5. How does exponentiation behave for fractions or decimals?

Tip: Any number raised to the power of 0 is always 1 (e.g., 40=14^0 = 1).

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Powers

Formulas

a^n = a * a * ... * a (n times)

Theorems

Exponentiation Rules

Suitable Grade Level

Grades 6-8