Answer:
The answer to your question is [tex]\frac{3a^{5}b}{4}[/tex]
Step-by-step explanation:
[tex]\frac{6a^{2}b^{-2}}{8a^{-3}b^{3}}[/tex]
Process
To solve this problem, just remember the exponent's laws, in the division, exponents subtract and the coefficients just simplify.
1.- Simplify the coefficients
[tex]\frac{6}{8} = \frac{3}{4}[/tex]
2.- Simplify "a's"
a² a⁺³ = a⁵
3.- Simplify "b's"
b⁻² b³ = b
4.- Write the expression
[tex]\frac{3a^{5}b}{4}[/tex]
