Math Problem Statement
Simplify to a single power of 5: (5^2)^6
Solution
The expression in the image is:
To simplify this, you can apply the rule of exponents that states . Here, the base , the exponent , and . Using the rule:
So, the simplified expression is:
Would you like any further clarification or have any other questions? Here are some related topics you might find interesting:
- How do you multiply two powers with the same base?
- What are other properties of exponents?
- How do you handle negative exponents?
- How do fractional exponents work?
- Can you explain why exponents follow these specific rules?
Tip: When simplifying powers of a power, remember to multiply the exponents!
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Math Problem Analysis
Mathematical Concepts
Exponents
Simplification of powers
Formulas
(a^m)^n = a^(m * n)
Theorems
Laws of Exponents
Suitable Grade Level
Grades 6-8