Answer:
q^-30 or 1/q^30.
Step-by-step explanation:
[(p^2)(q^5)]^-4 • [(p^-4)(q^5)]^-2
= p^(2*-4) * p^(-4*-2) * q(5*-4) * q^(5*-2)
= p^-8 * p^8 * q^-20 * q^-10
= p^(-8+8) * q^(-20 + -10)
= p^0 * q^-30
= 1 * q^-30
= q^-30.
The simplified form of the provided expression is 1/q³⁰ option first is correct.
It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
[tex]\rm \left(\left(p^2\right)\left(q^5\right)\right)^{-4}\left(\left(p^{-4}\right)\left(q^5\right)\right)^{-2}[/tex]
[tex]\rm =\dfrac{1}{p^8q^{20}}\cdot \dfrac{p^8}{q^{10}}[/tex]
[tex]=\dfrac{1}{q^{20}q^{10}}[/tex]
= 1/q³⁰
Thus, the simplified form of the provided expression is 1/q³⁰ option first is correct.
Learn more about the expression here:
brainly.com/question/14083225
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