Math Problem Statement
Simplify the following: (7^2)^2
Solution
To simplify part :
Steps:
-
Apply the power of a power property of exponents: In this case:
-
Simplify :
Final Answer:
Would you like me to solve other parts or explain this in more detail?
Related Questions:
- How do you simplify other nested powers like ?
- What are the steps for evaluating when ?
- How does the rule apply in general cases?
- Can we write as a single multiplication without exponents? How would that look?
- Why is it important to simplify nested powers before evaluating?
Tip:
Always simplify exponents step by step to avoid confusion, especially with nested or fractional powers!
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Math Problem Analysis
Mathematical Concepts
Exponents
Simplification of powers
Formulas
(a^m)^n = a^(m * n)
Theorems
Power of a power rule
Suitable Grade Level
Grades 6-8