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 option 1 2 3 or 4

Answer 1

To evaluate the expression \(((p^{-5})(p^{-4})(q^3))^0\) when \(p = 3\) and \(q = -9\), we can first simplify the expression itself.

According to the laws of exponents, any expression raised to the power of 0 is equal to 1 (as long as the base is not zero). Thus, we have:

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

This is true regardless of the values of \(p\) and \(q\). Therefore, the value of the entire expression is:

\[
\boxed{1}
\]