simplify $\frac{12y^{7}}{18y^{-3}}$. assume $y\neq0$.\n$\frac{y^{10}}{6}$\n$\frac{2}{3y^{10}}$\n$\frac{2y^{10…
simplify $\frac{12y^{7}}{18y^{-3}}$. assume $y\neq0$.\n$\frac{y^{10}}{6}$\n$\frac{2}{3y^{10}}$\n$\frac{2y^{10}}{3}$
Answer
Explanation:
Step1: Simplify coefficient
$\frac{12}{18}=\frac{2}{3}$
Step2: Use exponent - division rule
$\frac{y^{7}}{y^{- 3}}=y^{7-(-3)} = y^{10}$
Step3: Combine results
$\frac{2}{3}\times y^{10}=\frac{2y^{10}}{3}$
Answer:
$\frac{2y^{10}}{3}$