Mathematics: How to right a radical in exponential form

How to right a radical in exponential form

Ответ:

wendymtz2004

04.01.2022

$\sqrt[n]{x}=x^{\frac{1}{n}}$

Step-by-step explanation:

The index of a radical is the denominator of a fractional exponent, and vice versa. If you think about the rules of exponents, you know this must be so.

For example, consider the cube root:

$\sqrt[3]{x}\cdot \sqrt[3]{x}\cdot \sqrt[3]{x}=(\sqrt[3]{x})^3=x\\\\(x^{\frac{1}{3}})^3=x^{\frac{3}{3}}=x^1=x$

That is ...

$\sqrt[3]{x}=x^{\frac{1}{3}} \quad\text{radical index = fraction denominator}$

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Ответ:

rhiannonwheatcr6619

08.01.2021

Mathematics

write the whole statement so we can help you

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How to right a radical in exponential form

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