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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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Answer:

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Step-by-step explanation:

(-5.4, 6.2)

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Positive x moves to the right, negative x moves to the left

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3 years ago
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kiruha [24]

Answer:

Step-by-step explanation:

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3 years ago
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Answer:


Step-by-step explanation:

17. A board 8 1/4 wanting to be cut out of the board are a number of pieces each piece 1 3/4 long

Convert both 8 1/4 and 1 3/4

8 1/4 = Multiply the denominator(4) by the whole number(8) to get 32 then add it to the numerator(1) to get 33, then put it over the original denominator to get 33/4.  Do the same for the rest of the questions.

1 3/4 = 7/4

Divide 33/4 by 7/4 since we want to see how many times we can get 7/4 out of 33/4

33/4 ÷ 7/4

33/4 * 4/7,  Changing the division sign to multiplication changes the fraction or number after it to the inverse of itself 7/4 = 4/7

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18. Total = 50

One serving = 1 1/3 = 4/3

50 ÷ 4/3

50 * 3/4

150/4 - simplify

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19. Saturday = 1 1/3 = 4/3

Sunday = 2 3/4 = 11/4

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In 3 weeks, she watches 49/12 * 3 = 147/12- simplify = 49/4 hrs

= 12 1/4 hrs


20. Total = 10

Sister = 3 1/2 = 7/2

Brother 4 1/5 = 21/5

Total given out = 7/2 + 21/5 = 77/10

What's left = 10 - 77/10 = 7/3

= 2 1/3 lbs


21. One day = 4 1/4 = 17/4

One week = 7 days

17/4 * 7 = 119/4

= 29 3/4 houses




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the answer is C, (8x + 3)^2 :)

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