Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

EL QUE ME AYUDE CON ESTO LE DOY CORONA ._.

TEMA : TEORIA DE EXPONENTES

- Al aplicar la ley de exponentes la expresión se reduce a:

EL QUE ME AYUDE CON ESTO LE DOY CORONA TEMA TEORIA DE EXPONENTES Al Aplicar La Ley De Exponentes La Expresión Se Reduce A class=

Sagot :

Answer:

S = [tex]\frac{36}{25}[/tex]

Step-by-step explanation:

Given expression is,

S = [tex]\sqrt[3]{[(\frac{3}{2})^{-2}+6^{-3}+(\frac{3}{2})^{-3}-6^{-1}}]^{-2}[/tex]

S = [tex]\sqrt[3]{[(\frac{2}{3})^{2}+(\frac{1}{6})^{3}+(\frac{2}{3})^{3}-(\frac{1}{6})}]^{-2}[/tex]

   = [tex]\sqrt[3]{[\frac{4}{9}+\frac{1}{216}+\frac{8}{27}-\frac{1}{6}}]^{-2}[/tex]

   = [tex]\sqrt[3]{(\frac{96+1+64-36}{216})^{-2}}[/tex]

   = [tex]\sqrt[3]{(\frac{125}{216})^{-2}}[/tex]

   = [tex]\sqrt[3]{(\frac{216}{125})^{2}}[/tex]

   = [tex]\sqrt[3]{(\frac{216}{125})\times (\frac{216}{125})}[/tex]

   = [tex]\sqrt[3]{(\frac{6\times 6\times 6}{5\times 5\times 5})\times (\frac{6\times 6\times 6}{5\times 5\times 5})}[/tex]

   = [tex]\sqrt[3]{(\frac{6}{5})^3\times (\frac{6}{5})^3}[/tex]

   = [tex]\frac{6}{5}\times \frac{6}{5}[/tex]

   = [tex]\frac{36}{25}[/tex]

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.