What is the value of \(3^{4}\times3^{-2}\div3^{-1}\)?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 27
For powers of the same base, multiplying adds the powers and dividing subtracts them.
\(3^{4}\times3^{-2}=3^{4-2}=3^{2}\)
\(3^{2}\div3^{-1}=3^{2-(-1)}=3^{3}\)
\(3^{3}=27\)