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Popular >

simplify \sqrt[21]{128^3}

Solution

simplify

Solution

2

Solution steps

Apply radical rule:

= (12 8^{3})^{\frac{1}{21}}

Apply exponent rule:

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

= 12 8^{3 \cdot \frac{1}{21}}

3 \cdot \frac{1}{21} = \frac{1}{7}

= 12 8^{\frac{1}{7}}

Factor the number:

128 = 2^{7}

Apply radical rule:

= 2

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Frequently Asked Questions (FAQ)

What is \sqrt[21]{128^3} ?
The solution to \sqrt[21]{128^3} is 2