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Popular >

simplify \sqrt[6]{(49)^3}

Solution

simplify

Solution

7

Solution steps

Apply radical rule:

= ((49)^{3})^{\frac{1}{6}}

Apply exponent rule:

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

= (49)^{3 \cdot \frac{1}{6}}

3 \cdot \frac{1}{6} = \frac{1}{2}

= (49)^{\frac{1}{2}}

a^{\frac{1}{2}} = a

= 49

Factor the number:

49 = 7^{2}

= 7^{2}

Apply radical rule:

7^{2} = 7

= 7

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{(49)^3} ?
The solution to \sqrt[6]{(49)^3} is 7