Math Problem Statement
Simplify the expression y^7 · y^(-10)
Solution
To simplify the expression , we use the property of exponents that states:
In this case:
Since is equivalent to , the correct answer is:
So, the correct option is: .
Would you like further explanation or have any questions?
Here are 5 related questions that could help expand your understanding:
- How do you simplify expressions with different bases and exponents?
- What happens when you multiply two expressions with the same base but with negative exponents?
- How would you simplify ?
- How can you rewrite a negative exponent as a positive exponent in the denominator?
- What is the rule for dividing powers with the same base?
Tip: When multiplying exponents with the same base, simply add the exponents.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Exponent Rules
Formulas
a^m · a^n = a^(m+n)
a^(-n) = 1/a^n
Theorems
-
Suitable Grade Level
Grades 7-9