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3 years ago

Simplify (2/9)^3 A. 8/729 B. 6/9 C. 2/729 D. 8/9 No guessing please

Mathematics

1 answer:

Lunna [17]3 years ago

7 0

Eliminate the exponent
2^3=8
9^3=729

The simplified answer would be 8/729.

Hope this helps!

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Pepsi [2]

I'm assuming the integral is

$\displaystyle \int \frac{dx}{x (\ln(x^2))^5}$

We have

$\ln(x^2) = 2 \ln|x| \implies (\ln(x^2))^5 = 32 (\ln|x|)^5$

Then substituting $y=\ln|x|$ and $dy=\frac{dx}x$ , the integral transforms and reduces to

$\displaystyle \int \frac{dx}{x(\ln(x^2))^5} = \frac1{32} \int \frac{dy}{y^5} \\\\ ~~~~~~~~ = \frac1{32} \left(-\frac1{4y^4}\right) + C \\\\ ~~~~~~~~ = -\frac1{128(\ln|x|)^4} + C$

which we can rewrite as

$128 (\ln|x|)^4 = 8\cdot2^4(\ln|x|)^4 = 8 (2\ln|x|)^4 = 8 (\ln(x^2))^4$

and so

$\displaystyle \int \frac{dx}{x (\ln(x^2))^5} = \boxed{-\frac1{8(\ln(x^2))^4} + C}$

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1 year ago

dante's mom will bake chocolate chip cookies for the children making snowman outside! she bake 60 cookies. Each child must have

Novay_Z [31]

Each child will get 6 cookies.

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3 years ago

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SOLVE what is J<br> 3j + 4 = 10<br> J =

tigry1 [53]

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Step-by-step explanation:

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1 year ago

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quester [9]

Answer:

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Step-by-step explanation:

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Anna11 [10]

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3 years ago