SOLUTION: I am stuck with this one : Q. Express in index form 1 divided by the square root of x Q. Express in index form the square root to the power of 4 of x to the power of 5

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Question 125678: I am stuck with this one :
Q. Express in index form 1 divided by the square root of x
Q. Express in index form the square root to the power of 4 of x to the power of 5
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
You want to express 1%2Fsqrt%28x%29 as x%5Eb, so we need to find an appropriate value for b.

First thing to realize is that 1%2Fa%5Em=a%5E%28-m%29, and the second thing is that root%28n%2Ca%29=a%5E%281%2Fn%29

Applying both of these rules, b=-1%2F2, so your index form is x%5E%28-1%2F2%29

I think your second problem looks like this %28sqrt%28x%5E5%29%29%5E4. Using root%28n%2Ca%29=a%5E%281%2Fn%29 again, we can say %28sqrt%28x%5E5%29%29%5E4=%28%28x%5E5%29%5E%281%2F2%29%29%5E4.

Now we need another rule to apply: %28a%5Em%29%5En=a%5Emn

Since 5%2A%281%2F2%29%2A4=10, your index form becomes x%5E10