Question

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

Answer 1

To evaluate the expression \(((p^{-5})(p^{-4})(q^3))^0\) when \(p = 3\) and \(q = -9\), we first notice that anything raised to the power of 0 equals 1, assuming the base is not 0.

Thus, regardless of the values of \(p\) and \(q\):

\[
((p^{-5})(p^{-4})(q^3))^0 = 1
\]

Therefore, the value of the entire expression is:

\[
\boxed{1}
\]