Which is the value of this expression when p=3 and q=-9?

((9^-5) (p^4)) ^3 times ((p^-4) (q^3)) ^0

The answer came up as 1 / 387420489 but if you divide it I believe the answer would be 0.

For this case we have the following expression:

((p ^ - 5) (p ^ 4)) ^ 3 * ((p ^ - 4) (q ^ 3)) ^ 0

Rewriting we have:

((p ^ - 5) (p ^ 4)) ^ 3 * ((p ^ ( - 4 * 0)) (q ^ (3 * 0)))

((p ^ - 5) (p ^ 4)) ^ 3 * ((p ^ 0) (q ^ 0))

((p ^ - 5) (p ^ 4)) ^ 3 * ((1) (1))

((p ^ - 5) (p ^ 4)) ^ 3 * 1

((p ^ ( - 5 * 3)) (p ^ (4 * 3)))

((p ^ - 15) (p ^ 12))

p ^ ( - 15 + 12)

p ^ - 3

1 / p ^ 3

For p = 3 we have:

1/3 ^ 3

1/27

Answer:

the value of this expression is:

1/27