Math Problem Statement

Simplify the expression (6^(4^2)).

Solution

It seems that you have uploaded two images. Both images display a question asking to simplify the expression 6426^{4^2}.

Let's begin simplifying it:

  1. The expression is 6426^{4^2}.
  2. First, solve the exponent 424^2, which is 1616.
  3. Now, the expression becomes 6166^{16}.

So the simplified expression is 6166^{16}.

Would you like further details on how to work with exponential expressions, or do you have additional questions?

Here are five related questions:

  1. How do you simplify an expression with multiple exponents, such as 6(23)6^{(2^3)}?
  2. What is the rule for multiplying numbers with exponents?
  3. How do you handle negative exponents?
  4. Can you calculate 6166^{16} and give the numerical value?
  5. How do exponents apply to algebraic expressions?

Tip: When simplifying exponents, always start by solving the innermost exponent first, and then simplify the rest.

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Math Problem Analysis

Mathematical Concepts

Exponents
Order of Operations

Formulas

a^(b^c) = a^(b*c) when simplifying nested exponents
Exponentiation rules

Theorems

Exponentiation properties

Suitable Grade Level

Grades 8-10