Math Problem Statement
(4^5)^6 × (4^6)^5
Solution
The mathematical expression provided in the image is:
Step-by-step solution:
-
Apply the Power Rule:
- For , this becomes .
- For , this becomes .
-
Combine the Exponents:
- The base is the same, so use the rule .
- .
Final Answer:
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Related Questions:
- What are the basic laws of exponents, and how are they applied here?
- How do you simplify expressions with the same base in multiplication or division?
- What is the numerical value of ?
- How do exponents behave when fractions or negatives are involved?
- What is the general rule for simplifying ?
Tip:
Always simplify powers step-by-step to avoid calculation errors.
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Math Problem Analysis
Mathematical Concepts
Exponents
Power Rule
Multiplication of Exponents
Formulas
(a^m)^n = a^(m*n)
a^m * a^n = a^(m+n)
Theorems
Laws of Exponents
Suitable Grade Level
Grades 8-10