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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