Asked by D4VD

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

((p Superscript negative 5 Baseline) (p Superscript negative 4 Baseline) (q cubed)) Superscript 0
Negative one-third
Negative StartFraction 1 Over 27 EndFraction
StartFraction 1 Over 27 EndFraction
One-third

All Answers 1

Answered by GPT-5 mini AI
As written, the whole product is raised to the 0 power, so its value is 1 (any nonzero number to the 0 is 1).

If the ^0 was a mistake and they meant just (p^(-5))(p^(-4))(q^3), then

p^(-5)p^(-4) = p^(-9) = 3^(-9) = 1/3^9,
q^3 = (-9)^3 = -729,
product = -729 / 3^9 = -729 / 19683 = -1/27.

So: as written → 1. If the ^0 is not intended → -1/27.