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

Simplify.\newlineRewrite the expression in the form \newlineznz^{n}.\newlinez−11⋅z−15z^{-11} \cdot z^{-15} =

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Full solution

Q. Simplify.\newlineRewrite the expression in the form \newlineznz^{n}.\newlinez−11⋅z−15z^{-11} \cdot z^{-15} =
  1. Combine Exponents: We have the expression z−11⋅z−15z^{-11} \cdot z^{-15}. When multiplying two exponents with the same base, we add the exponents.
  2. Add Exponents: Add the exponents −11-11 and −15-15.z(−11)∗z(−15)=z(−11+−15)=z(−26)z^{(-11)} * z^{(-15)} = z^{(-11 + -15)} = z^{(-26)}
  3. Simplify Expression: The expression is now simplified and written in the form z(n)z^{(n)}, where nn is the sum of the exponents.

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