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Verizon [17]
4 years ago
8

Choose the correct simplification of the expression (a^2/ b^3)^4.

Mathematics
1 answer:
anastassius [24]4 years ago
4 0
(a^2)^4 = a^8, and (b^3)^4 = b^12.  Thus, the quotient is

 a^8
--------
 b^12
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Use synthetic division to find the quotient and remainder. Express your answer as a polynomial.
OLEGan [10]

1. 2x³ - 11x² + 13x - 21   ÷   x - 3

x - 3 = 0   ⇒ x = 3

3   |   2   -11   13   -21

    <u>|   ↓    6   -15    -6</u>

        2   -5    -2    -27

1. Answer: 2x² - 5x - 2 - \frac{27}{x - 3}

*************************************************************

2. 3x³ + 7x² - 13x + 10   ÷   x + 2

x + 2 = 0   ⇒   x = -2

-2  |   3    7   -13    10

    <u>|   ↓   -6    -2    30</u>

        3    1    -15    40

2. Answer: 3x² + x - 15 + \frac{40}{x + 2}

3. 2x³ + 13x² - 21x + 9   ÷   x - 1

x - 1 = 0   ⇒   x = 1

1  |   2    13   -21     9

    <u>|   ↓     2    15    -6</u>

        2    15    -6    3

3. Answer: 2x² + 15x - 6 + \frac{3}{x - 1}

4. 7x³ + 0x² - 8x + 16   ÷   x - 2

x - 2 = 0   ⇒   x = 2

2  |   7    0     -8     16

    <u>|   ↓    14    28    40</u>

        7    14    20    56

4. Answer: 7x² + 14x + 20 + \frac{56}{x - 2}

5. 8x⁴ - 14x³ - 71x² - 10x + 24   ÷   x - 4

x - 4 = 0   ⇒   x = 4

4  |   8   -14   -71    -10    24

    <u>|   ↓    32    72     4   -24 </u>

        8    18       1     -6     0

5. Answer: 8x³ + 18x² + x - 6


8 0
3 years ago
ITS A TIMED TEST!!!!! <br>PLEASE HELP!!!!!!!!​
dsp73
I believe it is A. Sorry if it’s wrong <3
7 0
3 years ago
Pleaseeee I need help ASAP
alexandr402 [8]

Answer:

The question is incomplete/not fully in the question becuase there is only data given no question.

Step-by-step explanation:

8 0
2 years ago
Find the term independent of x in the expansion of
laiz [17]

Step-by-step explanation:

\frac{19683x {}^{18} }{512}  -  \frac{59049x {}^{15} }{512}  +  \frac{19683x {}^{12} }{128 }  -  \frac{15309x {}^{9} }{?128}  +  \frac{15309x {}^{6} }{256}  -  \frac{15309x {}^{9} }{128}  +  \frac{15309x {}^{6} }{?256}  -  \frac{5103x {}^{3} }{256}  +  \frac{567}{128}  -   \frac{81}{128x {}^{3} }  +  \frac{27}{512x {}^{6} }  -  \frac{1}{512x {}^{9} } it's long there's some calculations in de side hope its helpful

8 0
3 years ago
What are the rules which say what to calculate first, PEMDAS.
n200080 [17]

Confused on this question

3 0
3 years ago
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