30 points !!!!!!!!!!!! HELPPPP!!!!!!!!! SIMPLIFY THE EXPRESSION!!!!!!!!!!!

(9ab^-5)^-2

Question

08-03-2022
Mathematics

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30 points !!!!!!!!!!!! HELPPPP!!!!!!!!! SIMPLIFY THE EXPRESSION!!!!!!!!!!!

(9ab^-5)^-2

Sagot :

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Hrishiiidn Hrishiiidn · Answer 1 · 2022-03-08T10:26:11-05:00

Hrishiiidn Hrishiiidn

08-03-2022

Answer:

[tex]\frac{ {b}^{10} }{ 81 {a}^{2} } [/tex]

Step-by-step explanation:

[tex](9ab^{-5})^{-2} \\ \\ = {9}^{ - 2} {a}^{ - 2} {b}^{ - 5( - 2)} \\ \\ = {9}^{ - 2} {a}^{ - 2} {b}^{10} \\ \\ = \frac{ {b}^{10} }{ {9}^{2} {a}^{2} } \\ \\ \huge = \frac{ {b}^{10} }{ 81 {a}^{2} } [/tex]

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