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Popular >

simplify \sqrt[3]{3^{4.89}}

Solution

simplify

Solution

5.99387 \dots

Solution steps

Apply radical rule:

= (3^{4.89})^{\frac{1}{3}}

Apply exponent rule:

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

= 3^{4.89 \cdot \frac{1}{3}}

4.89 \cdot \frac{1}{3} = 1.63

= 3^{1.63}

3^{1.63} = 5.99387 \dots

= 5.99387 \dots

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{3^{4.89}} ?
The solution to \sqrt[3]{3^{4.89}} is 5.99387…