Math Problem Statement
Simplify the expression (x^2 * x^5) / x^3.
Solution
The expression in the image appears to be:
To simplify this expression, we can combine the powers of in the numerator. The multiplication of exponents with the same base follows the rule , so:
Now the expression becomes:
Next, applying the division rule for exponents , we subtract the exponents:
Thus, the simplified expression is:
Let me know if you need further clarification or details!
Would you like further explanation on exponent rules? Here are some related questions you could explore:
- What is the rule for dividing exponents with the same base?
- How do you simplify expressions with negative exponents?
- What happens when you raise a product to an exponent?
- How can exponents be applied in polynomial equations?
- How do you handle fractional exponents in expressions?
Tip: When multiplying powers of the same base, always add the exponents; when dividing, subtract them!
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Simplifying Expressions
Formulas
x^a * x^b = x^(a+b)
x^a / x^b = x^(a-b)
Theorems
Laws of Exponents
Suitable Grade Level
Grades 7-9