What is (\sqrt[3]{2sqrt(2)})^6 ?

The solution to (\sqrt[3]{2sqrt(2)})^6 is 8

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simplify (\sqrt[3]{2sqrt(2)})^6

simplify

8

Solution steps

Rewrite

6

3 \cdot 2

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

Apply exponent rule:

= (22)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(22)^{2} = 2^{2} (2)^{2}

= 2^{2} (2)^{2}

2^{2} = 4

= 4 (2)^{2}

(2)^{2} = 2

= 4 \cdot 2

Multiply the numbers:

4 \cdot 2 = 8

= 8

(- 5) (4)

(0.01)^{- \frac{1}{2}}

27 ab - 18 a c

\frac{x}{x + 2} + \frac{3}{2 x - 1}

- 3 p - (- 8 + 4 p)