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Popular >

simplify \sqrt[28]{15^{14}}

Solution

simplify

Solution

15

+1

Decimal Notation

3.87298 \dots

Solution steps

Apply radical rule:

= (1 5^{14})^{\frac{1}{28}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 1 5^{14 \cdot \frac{1}{28}}

14 \cdot \frac{1}{28} = \frac{1}{2}

= 1 5^{\frac{1}{2}}

a^{\frac{1}{2}} = a

= 15

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Frequently Asked Questions (FAQ)

What is \sqrt[28]{15^{14}} ?
The solution to \sqrt[28]{15^{14}} is square root of 15