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Popular >

simplify \sqrt[12]{3.2^7}

Solution

simplify

Solution

1.97092 \dots

Solution steps

Apply radical rule:

= (3. 2^{7})^{\frac{1}{12}}

Apply exponent rule:

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

= 3. 2^{7 \cdot \frac{1}{12}}

7 \cdot \frac{1}{12} = \frac{7}{12}

= 3. 2^{\frac{7}{12}}

3. 2^{\frac{7}{12}} = 1.97092 \dots

= 1.97092 \dots

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Frequently Asked Questions (FAQ)

What is \sqrt[12]{3.2^7} ?
The solution to \sqrt[12]{3.2^7} is 1.97092…