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