6d^5/3d^9

Answer 1

To simplify the expression \(\frac{6d^5}{3d^9}\), you can follow these steps:

1. Simplify the coefficients: Divide 6 by 3: \[ \frac{6}{3} = 2 \]

2. Simplify the powers of \(d\): Subtract the exponent in the denominator from the exponent in the numerator: \[ d^{5 - 9} = d^{-4} \]

3. Combine the results: \[ \frac{6d^5}{3d^9} = 2d^{-4} \]

4. Express with positive exponent (if needed): \[ 2d^{-4} = \frac{2}{d^4} \]

So, the simplified expression is: \[ \frac{2}{d^4} \]