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Write in radical form

Write in radical form-example-1
User Elbimio
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1 Answer

9 votes

Explanation:

I'll do one for you.

Using the formula for turning exponents into radicals


(b) {}^{ (x)/(y) } = \sqrt[y]{b} {}^(x)

where b is the base

This means that the numerator in the exponet form becomes the power under the radical in radical form and

the denominator in exponet form becomes the nth root in radical form.

For example 5,


(5) {}^{ ( - 3)/(5) }

That becomes in radical form


\sqrt[5]{5 {}^( - 3) }

or if you want to write it using positive exponents


\frac{1}{ \sqrt[5]{5 {}^(3) } }

I'll do one more for you

For example 6,


11 {}^{ (4)/(3) }

That becomes in radical form


\sqrt[3]{11 {}^(4) }

User Aliaksei Stadnik
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3.5k points