What is (\sqrt[3]{54})/(\sqrt[6]{4)} ?

The solution to (\sqrt[3]{54})/(\sqrt[6]{4)} is 3

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simplify (\sqrt[3]{54})/(\sqrt[6]{4)}

simplify

3

Solution steps

Factor the number:

4 = 2^{2}

Apply radical rule:

= \frac{5 4 ^{\frac{1}{3}}}{2 ^{\frac{1}{3}}}

Factor

5 4^{\frac{1}{3}} : 2^{\frac{1}{3}} \cdot 2 7^{\frac{1}{3}}

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

Cancel the common factor:

2^{\frac{1}{3}}

= 2 7^{\frac{1}{3}}

2 7^{\frac{1}{3}} = 3

= 3

1 - 2 x \leq - 3 or 7 + 3 x \leq 4

1 + lo g_{2} (x) - \frac{1}{2} lo g_{2} (y)

- 2 x = 1

∣ 3 - 2 x ∣ < ∣ x + 4 ∣

6 x^{2} + x + 5 = 0

What is (\sqrt[3]{54})/(\sqrt[6]{4)} ?
The solution to (\sqrt[3]{54})/(\sqrt[6]{4)} is 3