Simplify:
[tex]( \frac{1}{3})^{ – 2} + ( \frac{1}{4} ) ^{ – 2} + ( \frac{1}{5} ) ^{ – 2} – ( \frac{1}{6} ) ^{ – 2} [/tex]<

1 thought on “Simplify:<br />[tex]( \frac{1}{3})^{ – 2} + ( \frac{1}{4} ) ^{ – 2} + ( \frac{1}{5} ) ^{ – 2} – ( \frac{1}{6} ) ^{ – 2} [/tex]<”

1. [tex]\huge{\underline\mathfrak{\blue{Solution}}}[/tex]

   Step-by-step explanation:

   [tex]{\small{\mathtt{(\frac{1}{3})^{-2}+(\frac{1}{4})^{-2}+(\frac{1}{5})^{-2}-(\frac{1}{6})^{-2}}}}

   [/tex]

   • Using identity (a/b)^{-m} = (b/a)^{m}

   [tex]{\small{\implies{\mathtt{3^{2}+4^{2}+5^{2}-6^{2}}}}}[/tex]

   [tex]{\small{\implies{\mathtt{9+16+25-36}}}}[/tex]

   [tex]{\small{\implies{\boxed{\mathtt{\pink{14}}}}}}[/tex]

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