Which expression is equivalent to x12/x3?

The expression \(\frac{x^{12}}{x^3}\) can be simplified using the rule of exponents:

\[
\frac{x^a}{x^b} = x^{a-b}
\]

In this case:

\[
\frac{x^{12}}{x^3} = x^{12-3} = x^9
\]

Thus, the equivalent expression is \(x^9\).

Would you like further details or have any other questions?

Here are 5 related questions:
1. How do you simplify \(\frac{x^{15}}{x^5}\)?
2. What is \(\frac{x^{8}}{x^{2}}\)?
3. How do you simplify an expression like \(\frac{x^{a}}{x^{b}}\) in general?
4. What happens if \(a = b\) in the expression \(\frac{x^a}{x^b}\)?
5. How do you handle negative exponents in a division, such as \(\frac{x^5}{x^8}\)?

**Tip:** Always subtract the exponents when dividing terms with the same base.

Learn how to simplify the expression x12/x3 by applying the exponent rule. The step-by-step explanation covers the laws of exponents, making it ideal for students in Grades 6-8. Practice related problems to strengthen your understanding of exponents in algebra.

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