Question
$ 3^5 \div 3^{-6}$ can be simplified as __________.
✓
Answer
$3^5 \div 3^{-6}$ can be simplified as $(3)^{11}$.
Solution:
Given,
$3^5 \div 3^{-6}=(3)^{5-(-6)}$
$=(3)^{5+6}=(3)^{11}\left[\because a^m+a^n=(a)^{m-n}\right]$
Hence,
$3^5 \div 3^{-6}$ can be simplified as $(3)^{11}$.
Solution:
Given,
$3^5 \div 3^{-6}=(3)^{5-(-6)}$
$=(3)^{5+6}=(3)^{11}\left[\because a^m+a^n=(a)^{m-n}\right]$
Hence,
$3^5 \div 3^{-6}$ can be simplified as $(3)^{11}$.
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