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Cloud [144]
3 years ago
10

Which is equivalent to 4sqrt9^1/2x

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0

sqrt9^1/2x is subject to misinterpretation and should be clarified through the insertion of parentheses. Did you mean sqrt ( 9^(x/2) )? or sqrt ( 9^(1/2x) )?


I will take a chance and assume that you meant 4sqrt ( 9^(x/2) ). Rewriting this, we get


4 ( 9^(x/2) )^(1/2)


The coefficient 4 does not change.


But ( 9^(x/2) )^(1/2) be3comes 9^[(x/2)*(1/2), so that we now have


4*9^[(x/2)*(1/2) = 4*9^(x/4).


4*9^(1/4) = 4*(3^2)^(1/4) = 4*(3)^(2/4) = 4*(3)^(1/2)


You could leave this result as is, or rewrite it as 4sqrt(3).

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