The answer is: " 2x¹⁶ y " .
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This is the "most simplified" version of the expression given.
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Explanation:
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Given: "2xy (x⁵)³ " ; Simplify .
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Note: (x ⁵) ³ = x⁽ ⁵ * ³ ⁾ = x ⁽¹⁵⁾ ;
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Rewrite:
2xy (x⁵)³ = 2xy x⁽¹⁵⁾ ;
Rewrite:
2 * x * x⁽¹⁵⁾ * y ;
Note: "x * x⁽¹⁵⁾ = x¹ * x¹⁵ = x⁽¹ ⁺ ¹⁵⁾ = x¹⁶ ;
Rewrite: " 2x¹⁶ y " .
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4/3 (k)(k + 7)(3k + 9)
4/3 (k)(3k^2 + 9k + 21k + 63)
4/3 (k)(3k^2 + 30k + 63)
4/3 (3k^3 +30k + 63)
4k^3 +40k +84
4 = 12
10 = 18
22 = 30
54 = 62
62 = 70
100 = 108
The value of x+y+z = 93
<u>Explanation:</u>
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angle 1 = 18x
angle 2 = x+y
angle 3 = 30z
In rhombus, the diagonals intersect at 90°
Therefore,
angle 1 : 18x = 90
x = 90/18 = 5
angle 2: x+y = 90
5+y = 90
y = 85
angle 3: 30z = 90
z = 90/30 = 3
Value of x+y+z = 5+85+3 = 93
Thus, the value of x+y+z = 93
