# What are the steps involved in solving this problem

Discussion in 'Algebra' started by cmtoland, Sep 26, 2019.

1. ### cmtoland

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If you take the square root of the square root of x, and that = x ^ a what does a equal?

cmtoland, Sep 26, 2019

2. ### MDV

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1/4

MDV, Jan 18, 2020

3. ### nycmathguy

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I don't understand your statement. You are saying what is sqrt{x^a}?

See attachment. nycmathguy, Jun 28, 2021
4. ### MathLover1

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If you take the square root of the square root of x, you have sqrt(x) or x^(1/2)

and that = x ^ a

=>x^(1/2)=x ^ a ........if base same, exponents are same too

=>a=1/2

MathLover1, Jun 28, 2021
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5. ### nycmathguy

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Cool but is my answer incorrect?
I stated the answer to be x^(a/2). If wrong, why am I wrong?

nycmathguy, Jun 28, 2021
6. ### MathLover1

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your mistake is at very beginning:
read carefully: If you take the square root of the square root of x =>sqrt(x)
, and that is equal to x ^ a

=>sqrt(x) =x ^ a

but you did this: sqrt(x ^ a) which is not what is given

MathLover1, Jun 29, 2021
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