Question

Simplify. Write your answer using only positive exponents (6a⁴b⁻⁶c⁵)/(3a⁻³c⁻⁴)

Answer 1

To simplify the expression (6a⁴b⁻⁶c⁵)/(3a⁻³c⁻⁴) and write it using only positive exponents, divide the numerical coefficients and subtract the exponents of like bases.

Step-by-step explanation:

To simplify the expression (6a⁴b⁻⁶c⁵)/(3a⁻³c⁻⁴) and write it using only positive exponents, we can use the rules of exponents:

1. Divide the numerical coefficients: 6/3 = 2
2. Subtract the exponents of like bases: a⁴/a⁻³ = a⁴+³ = a⁷
3. Subtract the exponents of like bases: b⁻⁶/b⁰ = b⁻⁶-⁰ = b⁻⁶
4. Subtract the exponents of like bases: c⁵/c⁻⁴ = c⁵+⁴ = c⁹

Putting it all together, the simplified expression is 2a⁷b⁻⁶c⁹.