What is 23i (45 + 8i) to the power of five

Question

Urijah Hayden

Mathematics

1 April, 05:59

What is 23i (45 + 8i) to the power of five

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Kendal Carson · Answer 1

23i (45 + 8i) ⁵

23i (45 + 8i) (45 + 8i) (45 + 8i) (45 + 8i) (45 + 8i)

23i (45 (45 + 8i) + 8i (45 + 8i)) (45 (45 + 8i) + 8i (45 + 8i)) (45 + 8i)

23i (45 (45) + 45 (8i) + 8i (45) + 8i (8i)) (45 (45) + 45 (8i) + 8i (45) + 8i (8i)) (45 + 8i)

23i (2025 + 360i + 360i + 64i²) (2025 + 360i + 360i + 64i²) (45 + 8i)

23i (2025 + 720i + 64 (-1)) (2025 + 720i + 64 (-1)) (45 + 8i)

23i (2025 (2025 + 720i - 64) + 720i (2025 + 720i - 64) - 64 (2025 + 720i - 64)) (45 + 8i)

23i (2025 (2025) + 2025 (720i) - 2025 (64) + 720i (2025) + 720i (720i) - 720i (64) - 64 (2025) - 64 (720i) + 64 (64)) (45 + 8i)

23i (50625 + 1458000i - 129600 + 1458000i + 518400i² - 46080 - 129600 - 46080i - 4096) (45 + 8i)

23i (50625 - 129600 - 46080 - 129600 - 4096 - 51800 + 1458000i + 145800i - 46080i) (45 + 8i)

23i (-310551 + 1603800i) (45 + 8i)

23i (-310551 (45 + 8i) + 1603800i (45 + 8i))

23i (-13974795 - 2484408i + 72171000i + 12830400i²)

23i (-13974795 - 12830400 - 2484408i + 72171000i)

23i (-26805195 - 69686592i)

23i (-26805195) - 23i (69686592i)

-616519485i - 1602791616