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Popular >

simplify \sqrt[8]{14^3}

Solution

simplify

Solution

1 4^{\frac{3}{8}}

+1

Decimal Notation

2.69028 \dots

Solution steps

Apply radical rule:

= (1 4^{3})^{\frac{1}{8}}

Apply exponent rule:

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

= 1 4^{3 \cdot \frac{1}{8}}

3 \cdot \frac{1}{8} = \frac{3}{8}

= 1 4^{\frac{3}{8}}

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Frequently Asked Questions (FAQ)

What is \sqrt[8]{14^3} ?
The solution to \sqrt[8]{14^3} is 14^{3/8}