Math Problem Statement

(8-4)^5

Solution

Let's solve the expression (84)5(8-4)^5.

  1. First, simplify the expression inside the parentheses: 84=48 - 4 = 4

  2. Now, raise the result to the power of 5: 45=4×4×4×4×4=10244^5 = 4 \times 4 \times 4 \times 4 \times 4 = 1024

So, (84)5=1024(8-4)^5 = 1024.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

  1. What is the value of (73)4(7 - 3)^4?
  2. How do you expand and simplify the expression (2x3)3(2x - 3)^3?
  3. What is the result of raising 2-2 to the power of 4?
  4. Can you solve (106)6(10 - 6)^6?
  5. How would you calculate (5+2)3(5 + 2)^3 using the binomial theorem?

Tip: When raising a number to a power, breaking down the multiplication step by step can help prevent errors, especially with larger exponents.

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Order of Operations

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8