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Fractional Exponents Worksheet Form

Fractional Exponents Worksheet Form

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Instructions and help about Fractional Exponents Worksheet

We're asked to simplify r to the 2/3 s to the third, that whole thing squared. Times the square root of 20r to the fourth s to the fifth. Now this looks kind of daunting, but I think if we take it step by step it shouldn't be too bad. So first we can look at this first expression right here where we're taking this product to the second power. We know that instead we can take each of the terms in the product to the second power and then take the product. So this is going to be the same thing as r to the 2/3 squared times s to the third squared. And now let's look at this radical over here. We have the square root, but that's the exact same thing as raising something to the 1/2 power. So this is equal to-- so times this part. Let me do this in a different color. This part right here, that is the same thing as 20. And instead of just writing 20, let me write 20 as the product of a perfect square and a non-perfect square. So 20 is the same thing as 4

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