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charle [14.2K]
3 years ago
6

What pattern do you see when multiplying two powers with the same base

Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0
<span>The exponent always corresponds to the number of times the base is used as a factor.</span>
You might be interested in
(sqrt3-sqrt3i)^4
Ludmilka [50]

The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ =  (-1 + √3i)¹² < (√3 - √3i)⁴.

<h3>Absolute values of the complex numbers</h3>

The absolute values of the complex numbers are determined as follows;

(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴

|z| = \sqrt{(\sqrt{3} )^2 + (\sqrt{3 }\times1 )^2} } \\\\|z| = \sqrt{6}

(-1+sqrt3i)^12 = (-1 + √3i)¹²

|z| = \sqrt{(-1)^2 + (\sqrt{3)^2} } \\\\|z| = \sqrt{4} \\\\|z| = 2

(sqrt 3-i)^6 = (√3 - i)⁶

|z| = \sqrt{(\sqrt{3})^2 + (-1)^2 } \\\\|z| = \sqrt{4} \\\\|z| = 2

(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸

|z| = \sqrt{(\sqrt{2} )^2 + (\sqrt{2})^2 } \\\\|z| = 2

(sqrt2-i)^6 = (√2 - i)⁶

|z| = \sqrt{(\sqrt{2})^2 + (-1)^2} } \\\\|z| = \sqrt{3}

Increasing order of the complex numbers;

(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ =  (-1 + √3i)¹² < (√3 - √3i)⁴.

Learn more about complex numbers here: brainly.com/question/10662770

#SPJ1

3 0
3 years ago
Help with right answer please
kari74 [83]

Answer:

Step-by-step explanation:

Keep in mind that 1 week is equivalent to 168 hours, or, alternatively, to (7 days)(24 hours per day).  Thus, Answer 5 is correct.

6 0
4 years ago
When a measurement in inches is converted to centimeters, will the number of centimeters be greater or less than the number of i
krek1111 [17]
Answer:
The number of centimeters will be greater than the number of inches.

Explanation:
The conversion between an inch (British Units) and centimeter (Metric Units) is
1 inch = 2.54 centimeters.

According to the conversion, every inch is equivalent to more than 2.5  centimeters.
7 0
3 years ago
2/3(18x - 12) = 7 – 3(x –3)​
julsineya [31]

Answer:

x=8/5

Step-by-step explanation:

2/3(18x-12)=7-3(x-3)

2/3(18x-12)=7-3x+9

12x-8=-3x+16

12x-(-3x)-8=16

12x+3x-8=16

15x-8=16

15x=16+8

15x=24

x=24/15

simplify

x=8/5

7 0
4 years ago
Over the summer, Jackie played video games 3 hours per day. When school began in the fall, she only allowed to play video games
erik [133]
So to find this we divide 3 by 1/2 and get 6. So, she is now only at 1/6 of her original time.1/6 is equal to .1666, and to the nearest percent that would be 17%. hope this helps and its not too late!
3 0
3 years ago
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