Question

Which is the value of this expression when p=3 and q=-9?
((9^-5)(p^4))^3 times ((p^-4)(q^3))^0

Answer 1

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

Answer 2

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