Question

Evaluate 1/3^-2x^-4y^2 for x=3 and y=-1

A.) -9
B.) 9
C.) -729
D.) 729

Answer 1

The correct answer is 729.

Answer 2

we have

`1/[ 3^(-2) x^(-4) y^(2) ]`

Let's substitute the given values of x and y into the expression:
for x=3 and y=-1

`=1/[ (3)^(-2) (3)^(-4) (-1)^(2) ]`
Using the laws of exponents:

`=1/[ (3)^(-2-4)(1) ] \\ = 3^(6) \\ =729`

the answer is
729