Week 4 – Math 10

I didn’t know how to write an equivalent expression when there is two square roots together.  I use to just square root it separately but i learnt that there was a shortcut to find the equivalent expression.

Example: √√ x^5

Instead of doing it separately, I could change make two \frac{5}{2} exponents like this ((x^\frac{5}{2})^\frac{5}{2}) because x^\frac{5}{2} = √ x^5

Now i know that since i have two exponents, i can use the power law and multiply it with each other. \frac{5}{2}\frac{5}{2}=x^\frac {5}{4}

the answer is x^\frac{5}{4}

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