Question

Evaluate
A)9
B)-9
c) 729
d) -729

Answer 1

The correct option is c) 729

Step-by-step explanation :-

`\frac{1}{ {3}^( - 2) {x }^( - 4) {y}^(2) }`

`= \frac{ {3}^(2) {x}^(4) }{ {y}^(2) }`

Now , we just need to substitute " x = 3 " and " y = -1 " in the equation above.

`⇢ \frac{ {3}^(2) {(3)}^(4)}{ {( - 1)}^(2) }`

`= (3 * 3 * 3 * 3 * 3 * 3)/(( -1) * ( - 1))`

`= (729)/(1)`

`= \underline { \boxed{ 729}}`