Which is the simplified form of the expression [(p^2)(q^5)]^-4 • [(p^-4)(q^5)]^-2

Answers

Answer 1

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.

Answer 2

The simplified form of the provided expression is 1/q³⁰ option first is correct.

What is an expression?

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.

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Which Is The Simplified Form Of The Expression [(p^2)(q^5)]^-4 [(p^-4)(q^5)]^-2

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Step-by-step explanation

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Answers

Answer:

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Use a ruler to draw a line segment connecting the base points of the isosceles triangle.

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Learn more about Isosceles Triangle here:

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