Mathematics, 06.07.2021 01:00 Brooke7644
How can an expression written in either radical form or rational exponent form be rewritten to fit the other form? Explain thoroughly and thank you for your time.
Answers: 3
can be written, in radical form, as![\sqrt[3]{x^4}](/tpl/images/2418/9982/04595.png)
. What happens is that the denominator of the fraction serves as the index (the number that sits in the bend of the radical) and the numerator serves as the power on the variable (or number, if that's the case). Let's look at another one:
becomes![\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}](/tpl/images/2418/9982/8acc7.png)
![\sqrt[5]{x^4}](/tpl/images/2418/9982/666cd.png)
becomes
, etc. Get it?
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