Final answer:
To simplify the expression ((6ab^(-3)c^(5)))/((2a^(-3)b^(-2)c^(2))), combine like terms and simplify the exponents.
Step-by-step explanation:
To simplify the expression ((6ab^(-3)c^(5)))/((2a^(-3)b^(-2)c^(2))), we need to combine like terms and simplify the exponents. Here are the step-by-step instructions:
- Combine the numerical coefficients: 6 divided by 2 equals 3.
- Combine the variable a: a divided by a^(-3) equals a^4.
- Combine the variable b: b^(-3) divided by b^(-2) equals b^(-1).
- Combine the variable c: c^(5) divided by c^(2) equals c^(3).
Putting it all together, the simplified expression is 3a^4b^(-1)c^(3).