# Math check

(^5 sqrt symbol a^6)/(^4 sqrt symbol a^3)

Is the answer 20sqrt symbol a^9

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asked by Chris
1. I've did the calculations, and I get

20sqrt symbol a^39

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2. do you mean 20sqrt symbol a^9

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posted by Chris
3. ^5 sqrt symbol a^6 = a^(6/5)
and ^4 sqrt symbol a^3 = a^(3/4)

a^(6/5)*a^(3/4) = a^((6/5)+(3/4))

= a^(39/20) = ^20sqrt symbol a^39

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