Math Problem Statement
Select the equivalent expression: (x^6 * x^4) / x^7
Solution
The expression given in the image is:
Let's simplify this step by step.
- Apply the multiplication rule of exponents: . So,
- Now, the expression becomes:
- Use the division rule of exponents: . So,
Therefore, the equivalent expression is .
Among the answer choices, the correct option is .
Would you like any further explanation or details on this?
Here are 5 related questions:
- How do you simplify expressions with negative exponents?
- What happens if you divide a number with the same exponent?
- How do you simplify more complex exponential expressions with multiple terms?
- Can you apply the same rules to expressions with fractional exponents?
- How do you handle exponents when variables have coefficients?
Tip: Always remember that when multiplying terms with the same base, you add the exponents. When dividing, you subtract them.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponent Rules
Formulas
x^a * x^b = x^(a+b)
x^a / x^b = x^(a-b)
Theorems
Exponent Addition and Subtraction
Suitable Grade Level
Grades 7-9