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25 votes
Check the attachment

Check the attachment-example-1
User Djvg
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1 Answer

10 votes
10 votes

Answer:


a\:(√(a^3))/(a^4) =(√(a))/(a^2)

Explanation:

I believe this question is wrongly or part of it has been truncated in the screenshot

I have simplified the original expression and checked my answer.


\mathrm Simplify \;\;a(√(a^3))/(a^4)\\\\√(a^3) = a^{(3)/(2)} = a^{(1 + (1)/(2))} = a \cdot a^(1)/(2) = a √(a) \\\\a(√(a^3))/(a^4)\\\\ = (a\cdot a\cdot √(a))/(a^4)\\\\= (a^2√(a))/(a^4)\\\\= (√(a))/(a^((4-2)))\\\\\\=(√(a))/(a^2)

User Mark Setchell
by
2.8k points
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