Math Problem Statement
Simplify the expression: (8^5)^6 · 8^2.
Solution
The given expression in the image is:
Step-by-Step Simplification:
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Apply the Power of a Power Rule: The rule for powers of powers is . So,
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Combine Powers with the Same Base: When multiplying powers with the same base, the exponents are added:
Thus, the simplified expression is:
Would you like more details on any part of this explanation?
Related Questions:
- What is the power of a product rule in exponents?
- How can you simplify ?
- What is the expanded form of ?
- How do you handle negative exponents when simplifying powers?
- Can you explain the zero exponent rule?
Tip: Remember, when multiplying powers of the same base, always add the exponents!
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Math Problem Analysis
Mathematical Concepts
Exponents
Power of a Power Rule
Multiplying Powers
Formulas
(a^m)^n = a^(m · n)
a^m · a^n = a^(m + n)
Theorems
Power of a Power Rule
Product of Powers Property
Suitable Grade Level
Grades 8-10