Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
The value of $3^5 \div 3^{-6}$ is:
A
$3^5$
B
$3^{-6}$
✓
$3^{11}$
D
$3^{-11}$
✓
Answer
Correct option: C.
$3^{11}$
C. $3^{11}$ Solution:
Using law of exponents, $a^m + a^n = a^{m-n}$[$\because$ a is non-integer]
$3^{5} \div 3^{-6}$ = $3^{5-(-6)}$
= $3^{5+6}$
= $3^{11}$
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