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How would you work out 9 to the power of 1 slash 2 i know it makes 3 but how?

Updated: 8/21/2019
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ForthelolsXDgp5577

Lvl 1
8y ago

Best Answer

One of the laws of indices states that

x^a * x^b = x^(a+b)

Now if you put a = b = 1/2, you get

x^(1/2) * x^(1/2) = x^(1/2+1/2) = x^1 = x

So x^(1/2) multiplied by itself = x and therefore x^(1/2) is the square root of x.


Then, since the square roots of 9 are 3 and -3 you have the answer to your question.



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8y ago
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8y ago

any number to the power of 1 slash 2 is the square root of the number, square root 9 = 3

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Q: How would you work out 9 to the power of 1 slash 2 i know it makes 3 but how?
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