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25-02-2018
Mathematics

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2i^2 times (3i)^3 PLZ EXPLAIN HOW YOU GET THE ANSWER

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creeds25 creeds25

25-02-2018

Given:
[tex]2i^2 \times (3i)^3 [/tex]
As[tex](3i)^3= 3^3 i^3 =27i^3[/tex]
Multiply and add the exponents.
we get

[tex]54i^5 \\ As \ i^2=-1 \ i^5=i^2 \times i^2 \ i =-1 \times -1 \times i =i[/tex]
We get
[tex]54i^5[/tex]=54i

Answer: 54i

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