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simplify. \\frac{18y^{3}}{6y}

Question

simplify.
\frac{18y^{3}}{6y}

Explanation:

Step1: Simplify the coefficients

Divide the coefficient of the numerator (18) by the coefficient of the denominator (6). So, $\frac{18}{6} = 3$.

Step2: Simplify the variables

For the variable \( y \), use the rule of exponents \( \frac{y^m}{y^n}=y^{m - n} \). Here, \( m = 3 \) and \( n = 1 \), so \( \frac{y^3}{y}=y^{3 - 1}=y^2 \).

Step3: Combine the results

Multiply the simplified coefficient and the simplified variable. So, \( 3\times y^2 = 3y^2 \).

Answer:

\( 3y^2 \)