Question

Which expression is equivalent to \left(3^{-6}\times 3^{3}\right)^{-1}\normalsize?(3 −6 ×3 3 ) −1 ? 3^{-19}3 −19 3^{18}3 18 3^{-3}3 −3 3^{3}3 3

Answer 1

Answer:

27

Step-by-step explanation:

Given the expression

$\left(3^{-6}\times 3^{3}\right)^{-1}$

According to law of indices, this can be written as;

$\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27$

Hence the required answer is 27