18y^7/3y^2

Answer 1

To simplify the expression \(\frac{18y^7}{3y^2}\), you can divide both the coefficients (the numerical parts) and the variables separately.

1. Divide the coefficients: \[ \frac{18}{3} = 6 \]

2. Divide the variables using the property of exponents \(\frac{y^a}{y^b} = y^{a-b}\): \[ \frac{y^7}{y^2} = y^{7-2} = y^5 \]

Putting it all together, the simplified form is: \[ \frac{18y^7}{3y^2} = 6y^5 \]

Thus, the final simplified expression is: \[ 6y^5 \]