Math, asked by rudransh1371, 1 year ago

simplify 3raus to power -4÷3 raise to power -3

Answers

Answered by sushant2505
3
Hi...☺

Here is your answer...✌
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 {3}^{ - 4} \div {3}^{ - 3} \\ \\ = \frac{ {3}^{ - 4} }{ {3}^{ - 3} } \\ \\ = { 3 }^{ - 4 - ( - 3)}\:\:\:\: ( \frac{a^m}{a^n} =a^{(m-n)} )\\ \\ = {3}^{ - 4 + 3 } \\ \\ = {3}^{ - 1} = \frac{1}{3}
Answered by duragpalsingh
2
Hey there! ☺☻☺

\frac{3^{-4}}{3^{-3}}\\\\= 3^{-4 -(-3)}\\=3^{-4+3}\\=\boxed{\boxed{3^{-1}}}\\

Hope It helps You! ☺☻☺
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