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Simplify (2√3(cos(5π/3)+isin(5π/3))) (cos(7π/6)+isin(7π/6))2
23\sqrt{3}3
2
3\sqrt{3}3
Simplify (7(cos(21π/6)+isin(21π/6)))3 (4 (cos(π)+isin(π)))3
-21952i
-212i
-252i
Simplify (√5 (cos(2π/3)+isin(2π/3)))4 (2√3 (cos(11π/6)+isin(11π/6)))3
(300)i3\left(300\right)i\sqrt{3}(300)i3
300(3+i3)300\left(3+i\sqrt{3}\right)300(3+i3)
300(3−i3)300\left(3-i\sqrt{3}\right)300(3−i3)
Simplify (7(cos(13π/2)+isin(13π/2)))2 (√3 (cos(7π/18)+isin(7π/18)))9
3969i33969i\sqrt{3}3969i3
-1
i3i\sqrt{3}i3
Simplify (√3 (cos(π/4)+isin(π/4)))3 (√2 (cos(2π)+isin(2π)))5
(−12+12i)3\left(-12+12i\right)\sqrt{3}(−12+12i)3
5(−12+12i)3\left(-12+12i\right)\sqrt{3}(−12+12i)3
10(−12+12i)3\left(-12+12i\right)\sqrt{3}(−12+12i)3
Simplify (√5(cos(4π/3)+isin(4π/3)))4 (1/4 (cos(21π/6)+isin(21π/6)))5
− 25(−i+3)2048-\ \frac{25\left(-i+\sqrt{3}\right)}{2048}− 204825(−i+3)
25(−i+3)7\frac{25\left(-i+\sqrt{3}\right)}{7}725(−i+3)
(−i+3)2048\frac{\left(-i+\sqrt{3}\right)}{2048}2048(−i+3)
Simplify (3(cos(7π/3)+isin(7π/3)))3 (√7(cos(4π/3)+isin(4π/3)))2
1892i(1−i3)\frac{189}{2}i\left(1-i\sqrt{3}\right)2189i(1−i3)
1892(1−i3)\frac{189}{2}\left(1-i\sqrt{3}\right)2189(1−i3)
1892(1−i3)\frac{189}{2}\left(1-i\sqrt{3}\right)2189(1−i3) /5
Simplify (4(cos(17π/2)+isin(17π/2)))3 (1/2 (cos(19π/12)+isin(19π/12)))6
i
-i
Simplify (√15(cos(3π/4)+isin(3π/4))2 (4(cos(π/2)+isin(π/2))2
(−120−120i)30\left(-120-120i\right)\sqrt{30}(−120−120i)30
(−120−136i)30\left(-120-136i\right)\sqrt{30}(−120−136i)30
(−10−20i)30\left(-10-20i\right)\sqrt{30}(−10−20i)30
Simplify (1(cos(π/2)+isin(π/2)))4 (2 (cos(7π/6)+isin(7π/6)))5
16
−16i3-16i\sqrt{3}−16i3
16+16i316+16i\sqrt{3}16+16i3
It is done.