What is equivalent to x^10

Question

(x^2) / (x^8)
1/x^6
(x^2) × (x^8)

Answer 1

To simplify \( x^{10} \) in terms of the options provided, let's analyze each option:

1. Option 1: \( \frac{x^2}{x^8} \)

   \[ \frac{x^2}{x^8} = x^{2 - 8} = x^{-6} \]

2. Option 2: \( \frac{1}{x^6} \)

   This is simply \( x^{-6} \), which is equivalent to the result of Option 1.

3. Option 3: \( (x^2) \cdot (x^8) \)

   \[ (x^2) \cdot (x^8) = x^{2 + 8} = x^{10} \]

Now, we can summarize the equivalents:

• Option 1 and Option 2 both equal \( x^{-6} \).
• Option 3 is equivalent to \( x^{10} \).

Thus, the equivalent expression to \( x^{10} \) among the options provided is Option 3: \( (x^2) \times (x^8) \).