Question

Match each expression with its equivalent simplified expression.

a. X⁵ = ?
b. 1/x = ?
c. X⁶ = ?
d. X⁻⁶=?
e. X = ?

Pairs
a. X² * X³
b. X⁻² * X³
c. X² * X⁻³
d. (X⁻²)³
e. (X^3)²

Answer 1

For expression a, X^5 is equivalent to X^2 * X^3. For expression b, 1/x is equivalent to X^-2 * X^3. For expression c, X^6 is equivalent to X^2 * X^-3. For expression d, X^-6 is equivalent to (X^-2)^3. For expression e, X is equivalent to (X^3)^2.

Step-by-step explanation:

To match each expression with its equivalent simplified expression, we can follow these steps:

1. For a, we have X² * X³, which can be simplified to Xµ.
2. For b, we have X⁻² * X³, which can be simplified to X±¹.
3. For c, we have X² * X⁻³, which can be simplified to X¹¹.
4. For d, we have (X⁻²)³, which can be simplified to X⁻¶.
5. For e, we have (X³¹)², which can be simplified to X¶¹.