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I don't know what to do at the last part

I don't know what to do at the last part-example-1

1 Answer

5 votes

3x³

1) Evaluating that radical expression, we have:

Notice that we can rewrite that, under one and only radical, and then divide 81 by 3 and subtract the exponents (1 from 10)

And then, rewrite that radical as a power


\frac{\sqrt[3]{81x^(10)}}{\sqrt[3]{3x}}=\sqrt[3]{\frac{81x^(10)}{3\cdot x^{}}}=\sqrt[3]{27x^9^{}}=(27x^9)^{(1)/(3)}=3x^3

2) As the cubic root of 27 is 3 and 9 times 1/3 is 3 we can write the solution as 3x³

3) Hence, that's the answer

I don't know what to do at the last part-example-1
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