Simplify the following expression. Write the answer without negative exponents and use only fractions if necessary (no decimals).
1.) 24x^2y^7/4x^5y^2
2.) 44c^9x^15y^17/4c^5x^12
+26367 Simplify the following expression.
Write the answer without negative exponents and use only fractions if necessary (no decimals).
1.)
24x^2y^7/4x^5y^2
\(\begin{array}{|rcll|} \hline && \dfrac{24x^2y^7}{4x^5y^2} \\\\ &=& \dfrac{24}{4}\cdot\dfrac{x^2y^7}{x^5y^2} \\\\ &=& 6\cdot\dfrac{x^2y^7}{x^5y^2} \\\\ &=& 6\cdot\dfrac{y^7y^{-2}}{x^5x^{-2}} \\\\ &=& 6\cdot \dfrac{y^{7-2}}{x^{5-2}} \\\\ &=& 6\cdot \dfrac{y^5}{x^3} \\ \hline \end{array}\)
+26367 Simplify the following expression. Write the answer without negative exponents and use only fractions if necessary (no decimals).
2.)
44c^9x^15y^17/4c^5x^12
\(\begin{array}{|rcll|} \hline &&\dfrac{44c^9x^{15}y^{17}}{4c^5x^{12}} \\\\ &=&\dfrac{44}{4}\cdot\dfrac{c^9x^{15}y^{17}}{c^5x^{12}} \\\\ &=&11\cdot c^9c^{-5}x^{15}x^{-12}y^{17} \\\\ &=&11\cdot c^{9-5}x^{15-12}y^{17} \\\\ &=&11\cdot c^4x^3y^{17} \\ \hline \end{array}\)
