Correct Answer - Option 1 :
\(\left(\frac{3}{2} \right)^5\)
Concept:
We know that
Dividend ÷ Divisor = Quotient
Given:
Dividend = \(\frac{2^{-6}}{3}\)
Quotient = \(\frac{3^{-6}}{2}\)
Calculation:
The required number, Divisor = Dividend ÷ Quotient
⇒ \(\rm Divisor = \frac{{\frac{{{2^{ - 6}}}}{3}}}{{\frac{{{3^{ - 6}}}}{2}}}\)
⇒ \(Divisor = \frac{{{2^{ - 5}}}}{{{3^{ - 5}}}} = {\left( {\frac{3}{2}} \right)^5}\)