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Popular >

simplify \sqrt[3]{3^{4.9}}

Solution

simplify

Solution

6.01586 \dots

Solution steps

Apply radical rule:

= (3^{4.9})^{\frac{1}{3}}

Apply exponent rule:

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

= 3^{4.9 \cdot \frac{1}{3}}

4.9 \cdot \frac{1}{3} = 1.63333 \dots

= 3^{1.63333 \dots}

3^{1.63333 \dots} = 6.01586 \dots

= 6.01586 \dots

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{3^{4.9}} ?
The solution to \sqrt[3]{3^{4.9}} is 6.01586…