Question

PLEASE HELP QUICK

Answer 1

Answer:

Options (2), (4) and (6)

Step-by-step explanation:

Option (1)

$8^{-1}=\frac{1}{8}$

Not equivalent to $\frac{1}{81}$.

False.

Option (2)

$9^{-2}=\frac{1}{9^2}$

      $=\frac{1}{81}$

True.

Option (3)

$\frac{9^{8}}{9^{4}}=9^{(8-4)}$

    $=9^{4}$

    = 6561

False.

Option (4)

$\frac{9^8}{9^{10}}=9^{8-10}$

     $=9^{-2}$

     $=\frac{1}{81}$

True.

Option (5)

$9^{-6}9^{3}$ = $9^{-6+3}$

         = $9^{-3}$

         = $\frac{1}{9^3}$

         = $\frac{1}{729}$

False

Option (6)

$9^{5}9^{-7}=9^{(5-7)}}$

          $=9^{-2}$

          $=\frac{1}{9^2}$

           $=\frac{1}{81}$

True.

Therefore, Options (2), (4) and (6) are the correct options.