Respuesta :
Answer:
c on edge (3a^5)/(4b^5)
Step-by-step explanation:
got it right
By simplifying [tex]$\frac{6 a^{2} b^{-2}}{8} \cdot a^{-3} b^{3}$[/tex]is [tex]\frac{3 a^{-1} b^{1}}{4}[/tex].
What are equations?
Given,
[tex]$\frac{6 a^{2} b^{-2}}{8} \cdot a^{-3} b^{3}$[/tex]
Cancel terms that are in both the numerator and denominator
[tex]&\frac{6 a^{2} b^{-2}}{8} \cdot a^{-3} b^{3} \\[/tex]
[tex]&\frac{3 a^{2} b^{-2}}{4} \cdot a^{-3} b^{3}[/tex]
Combine multiplied terms into a single fraction
[tex]&\frac{3 a^{2} b^{-2}}{4} \cdot a^{-3} b^{3} \\[/tex]
[tex]&\frac{3 a^{2} b^{-2} a^{-3} b^{3}}{4}[/tex]
Combine exponents
[tex]&\frac{3 a^{2} b^{-2} a^{-3} b^{3}}{4} \\[/tex]
[tex]&\frac{3 a^{-1} b^{-2} b^{3}}{4}[/tex]
Combine exponents
[tex]&\frac{3 a^{-1} b^{-2} b^{3}}{4} \\[/tex]
[tex]&\frac{3 a^{-1} b^{1}}{4}[/tex]
Hence,
[tex]\frac{3 a^{-1} b^{1}}{4}[/tex].
To learn more about equations refer to:
https://brainly.com/question/1280754
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