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Olenka [21]
4 years ago
8

Which expression is equivalent to (x^-4y/x^-9y^5)^-2

Mathematics
1 answer:
Stells [14]4 years ago
5 0

Answer:

\large\boxed{x^{-10}y^8=\dfrac{y^8}{x^{10}}}

Step-by-step explanation:

\left(\dfrac{x^{-4}y}{x^{-9}y^5}\right)^{-2}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\left(x^{-4-(-9)}y^{1-5}\right)^{-2}=(x^5y^{-4})^{-2}\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=(x^5)^{-2}(y^{-4})^{-2}=x^{(5)(-2)}y^{(-4)(-2)}=x^{-10}y^8\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{y^8}{x^{10}}

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In the figure below, C is between A and D, and B is the midpoint of AC. If BD=8 and BC=6, find AD.
ANEK [815]

Answer:

AD = 14

Step-by-step explanation:

BC = 6

BD = 8

CD = BD - BC

CD = 8 - 6

CD = 2

Since B is the midpoint of AC, therefore:

AC = 2*BC

AC = 2*6

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Thus:

AD = AC + CD

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3 0
3 years ago
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andre [41]
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4 years ago
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Lemur [1.5K]

Answer:

Step-by-step explanation:

20% of the eggs broke....25% were reserved for the guests....thats 45%

the remaining 22 eggs were consumed by family members...

so if 45% consisted of broken eggs and reserved eggs, then 55% were consumed by family members....and there were 22 eggs consumed by family.

so 55% of all the eggs = 22 eggs

0.55x = 22

x = 22 / 0.55

x = 40 eggs in the basket

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valentinak56 [21]

Answer:

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Step-by-step explanation:

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If it were an arithmetic sequence you would need to add or subtract the same difference each term, but here you are multiplying each term by 1/2.

4 0
3 years ago
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viktelen [127]

Step-by-step explanation:

The sum of 150 and 2 times a number n

sum ( + )

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<h2>150 + 2n</h2>
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