Math Problem Statement
Simplify to a single power of 6: (6^3)^5
Solution
The expression given in the image is , and we are asked to simplify it to a single power of 6.
Using the power of a power property of exponents, which states that , we can simplify the expression.
Thus, the simplified expression is .
Would you like further clarification or details on this? Here are some related questions:
- How do you simplify an expression with multiple exponents?
- What is the difference between multiplying powers and raising a power to another power?
- How would you evaluate numerically?
- Can you explain the general rules for exponentiation?
- How would this expression change if the base was a variable instead of a number?
Tip: When working with exponents, remember that raising a power to another power means you multiply the exponents.
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Math Problem Analysis
Mathematical Concepts
Exponents
Algebra
Formulas
(a^m)^n = a^{m \cdot n}
Theorems
Power of a Power Theorem
Suitable Grade Level
Grades 6-8