3 years ago

Multiply. 638 × 49 _____

Mathematics

1 answer:

noname [10]3 years ago

8 0

31,262

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$i^5+i^{-25}+i^{45}$<img src="https://tex.z-dn.net/?f=%24i%5E5%2Bi%5E%7B-25%7D%2Bi%5E%7B45%7D%24" id="TexFormula1" title="$i^5+i

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$i^5+i^{-25}+i^{45}$

Rewrite the term $i^{-25}$

$=i^5+\dfrac{1}{i^{25}}+i^{45}$

Expand each term so we have

$=i(i^2)^2+\dfrac{1}{i(i^2)^{12}}+i(i^2)^{22}$

Use the fact that $i^2=-1$

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$=i+\dfrac{1}{i}+i$

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