Question & Answer

Rewrite the expression in the form z^n. z^(-11) · z^(-15) =

Rewrite the expression in the form z^n.
z^(-11) · z^(-15) =
1. z^(-26)
2. z^(-4)
3. z^(4)
4. z^(26)

1 Answer

Verified archive
Quizzma TeamNovember 22, 2025

To rewrite the expression ( z^{-11} cdot z^{-15} ) in the form ( z^n ), we can use the property of exponents that states when multiplying like bases, we add the exponents.

Here’s the step-by-step process:

1. Start with the expression:

[

z^{-11} cdot z^{-15}

]

2. Add the exponents:

[

-11 + (-15) = -11 – 15 = -26

]

3. Therefore, we can rewrite the expression as:

[

z^{-26}

]

So the correct answer is 1. ( z^{-26} ).

If you have any more questions or need further clarification, feel free to ask!