Math Problem Statement
(x^2)(x^5)
Solution
The expression to simplify is:
To simplify this, use the product of powers property, which states that when multiplying two exponents with the same base, you add the exponents. In this case, the base is , so we add the exponents and :
Thus, the simplified expression is:
Would you like more details or have any further questions?
Here are 5 related questions to expand your understanding:
- How do you simplify ?
- What happens if the exponents are negative, like ?
- How do you simplify expressions like where the bases are different?
- What is the rule for dividing exponents with the same base, like ?
- How do you handle powers of powers, like ?
Tip: Always remember that the base of the powers must be the same to apply the product or quotient of powers rules.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Product of Powers Rule
Formulas
x^a * x^b = x^(a + b)
Theorems
Product of Powers Property
Suitable Grade Level
Grades 7-9