Math Problem Statement
Simplify.
Simplify the expression 3^2 * 3^(-5).
Solution
The expression shown in the image is:
To simplify this, we use the property of exponents that states:
Here, both terms have the same base (3), so we can add the exponents:
Now, can be written as:
Thus, the simplified result is:
Would you like more details or have any questions?
Here are 5 related questions to explore:
- What happens if the base is different, but the exponents are the same?
- How do we handle negative exponents in other expressions?
- Can you simplify ?
- What is the general rule for dividing terms with the same base and exponents?
- How do fractional exponents work when simplifying?
Tip: Always check if bases are the same when multiplying or dividing terms with exponents, as it allows for easy simplification!
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Math Problem Analysis
Mathematical Concepts
Exponents
Algebra
Formulas
a^m * a^n = a^(m+n)
Negative exponents: a^(-n) = 1 / a^n
Theorems
Exponentiation properties
Suitable Grade Level
Grades 6-8