To simplify the expression \(\frac{x^7 \cdot x^8}{x}\), let's follow the rules of exponents:

1. **Multiply the exponents** when multiplying terms with the same base:

   \[
   x^7 \cdot x^8 = x^{7+8} = x^{15}
   \]

2. **Divide the exponents** when dividing terms with the same base:

   \[
   \frac{x^{15}}{x} = x^{15-1} = x^{14}
   \]

So, the simplified expression is:

\[
\frac{x^7 \cdot x^8}{x} = x^{14}
\]

Would you like a detailed explanation of each step? Here are some related questions you might find helpful:

1. How do you simplify expressions with multiple variables and exponents?
2. What are the basic rules of exponents?
3. How do you handle negative exponents in a fraction?
4. How do you simplify expressions involving both multiplication and division of exponents?
5. What are some common mistakes when simplifying exponents?

**Tip:** When working with exponents, always remember the basic rules: multiply exponents when multiplying like bases, and subtract exponents when dividing like bases!

Learn how to simplify the expression x^7 * x^8 / x by applying exponent rules. This step-by-step solution demonstrates how to multiply and divide powers of the same base, leading to the final simplified expression x^14. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation