2 years ago

1.Write (x3)5 using a single exponent

Mathematics

2 answers:

Rina8888 [55]2 years ago

7 0

You multiply the exponents together to get a single exponent, in this case, 15

cluponka [151]2 years ago

5 0

You times the exponents together to get a single exponent to get 15

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lapo4ka [179]

Answer:

A= -1, B = -8, C = -6

Step-by-step explanation:

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2 years ago

Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

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2 years ago

Please help !!!!!!!!

Vsevolod [243]

Answer:

x=3 y=11

Step-by-step explanation:

2x+3=9

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x=3

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2 years ago

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Paha777 [63]

Answer:

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Step-by-step explanation:

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3 years ago

For the number -5/8 name the opposite, reciprocal and absolute value

Natasha_Volkova [10]

Opposite- 5/8
reciprocal- -8/5
absolute value- 5/8

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2 years ago