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photoshop1234 [79]
3 years ago
13

(-2p⁻⁵q . 4p⁵q⁻³)² Explain with steps

Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0

Answer:

\frac{64}{q^{4}}

or

64q^{-4}

Step-by-step explanation:

Remember the properties

Product rules

a^{n} a^{m}=a^{n+m}

Power rules

(a^{n})^{m}=a^{n*m}

we have

(-2p^{-5}q4p^{5}q^{-3})^{2}

Applying the product rules

(-2(4)p^{-5+5}q^{-3+1})^{2}

(-8p^{0}q^{-2})^{2}

(-8q^{-2})^{2}

Applying the power rules

64q^{-4}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

64q^{-4}=\frac{64}{q^{4}}

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Each student collects $1 per week.
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What expression are equivalent to 3(-2a-4)+3a?​
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Answer:

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Step-by-step explanation:

6 0
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Find the area.
coldgirl [10]
We need to split this shape into different shapes. I am going to split it into 2 rectangles, and one triangle. The first thing I am going to do is the triangle. A triangle has an area of 1/2 b*h. Since 25 is the base of the figure, and 16 is the top portion where the triangle dips, we will subtract 16 from 25 to find the base of the triangle. The base is 9. Now we will find the height using the same method with the 23 and the 14. Our height is 9. 9*9 = 81 * 1/2 = 40.5. The area of our triangle is 40.5.

Next I will move on to the bigger rectangle. I am going to create a line where the 16 cm stops on the right hand side. This makes our base 16 cm and the height 23. 16 * 23 is 368. The area of this rectangle is 368

And now for our final rectangle. The base for this one is the same as the base of our triangle, so it is 9. The height of this one is 14. 9 * 14 =126. The area of this rectangle is 126. 

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8 0
3 years ago
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Hoochie [10]

Answer:

2) 1. 73

   2. 107

   3. 73

   4. 107

   5. 73

   6. 107

   7. 73

  8. 107

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   3. 46

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   5. 46

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Step-by-step explanation:

  • Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal).
  • Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.
3 0
3 years ago
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