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Zolol [24]
3 years ago
12

Consider the extremely large integers $$x = 2\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29$$ and $$y = 2

9\cdot 31\cdot 37\cdot 41\cdot 43\cdot 47\cdot 53\cdot 59\cdot 61\cdot 67.$$ What is the greatest common divisor of $x$ and $y$?
Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

Hence, greatest common divisor of x and y is : 29.

Step-by-step explanation:

We are given:

We are given the large integers 'x' and 'y' as:

x=2×3×5×7×11×13×17×19×23×29

We could clearly see that x is the multiplication of all the prime numbers starting from 2 and ending at 29.

we are given y as:

y=29×31×37×41×43×47×53×59×61×67

Clearly we could see that y is also a multiplication of all the prime numbers starting from 29 and ending at 67.

<em>" In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers "</em>

Hence from the expression of x and y we could clearly see that the only common divisor that divides both x and y is 29.

Hence, greatest common divisor of x and y is 29.

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10(1+3x)=-20 and -5x-8(1+7x)=-8 <br> With steps
SOVA2 [1]

(1)

10(1+3x)=-20

Cross multiply.

10+30x=-20

Isolate x on one side. So you would subtract 10 on each side. and one side will cross each other out. leaving you with,

30x=-20-10

Subtract 10 from -20.

30x=-30

Divide each side by 30 to get x.

30x÷30=-30÷30

Therefore,

x=-1

(2)

-5x-8(1+7x)=-8

Cross multiply -8(1+7x)

-5x-8-56x=-8

Isolate all x's on one side. So you would add 8 on each side. and one side will cross each other out. leaving you with,

-5x-56x=-8+8

Add 8 to -8.

-5x-56x=0

Subtract -56x from -5x

-61x=0

Divide each side by -61

-61x÷-61=0÷-61

Therefore,

x=0

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3 years ago
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Step-by-step explanation:

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7 0
3 years ago
Simplify the expression (128x^5/8x)^1/2
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Step-by-step explanation:

Simplify x5 /8. Than, Equation at the end of step  1  :   x5   ——) • x)1) ÷ 4   8  

Step  2  :  2.1     16 = 24  (16)1 = (24)1 = 24  2.2    x6 raised to the 1 st power = x( 6 * 1 ) = x6

Step  3  :     24x6  Simplify   ————    4  

Dividing exponents :   3.1    24   divided by   22   = 2(4 - 2) = 22

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Answer:

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