Math Problem Statement
Evaluate. Write your answer as a whole number or as a simplified fraction: 6^5 / 6^2
Solution
The expression to evaluate is:
Using the property of exponents , we can subtract the exponents:
Now, calculate :
So, the simplified result is:
Would you like more details or have any questions?
Here are some related questions:
- How would the result change if the base was different, say ?
- What is the general rule for dividing exponents with the same base?
- How can we calculate higher powers of numbers efficiently?
- Can we extend the exponent rule to fractional or negative exponents?
- What is the value of and why?
Tip: When dividing powers with the same base, just subtract the exponents!
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Math Problem Analysis
Mathematical Concepts
Exponentiation
Division of Powers
Formulas
a^m / a^n = a^(m-n)
Theorems
Properties of Exponents
Suitable Grade Level
Grades 6-8