What is sqrt(\sqrt{\sqrt{(2/3)^{16)}}} ?

The solution to sqrt(\sqrt{\sqrt{(2/3)^{16)}}} is 4/9

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simplify sqrt(\sqrt{\sqrt{(2/3)^{16)}}}

simplify

(\frac{2}{3})^{16}

\frac{4}{9}

Decimal Notation

0.44444 \dots

Solution steps

(\frac{2}{3})^{16}

(\frac{2}{3})^{16} = \frac{16}{81}

= \frac{16}{81}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

= \frac{16}{81}

16 = 4

= \frac{4}{81}

81 = 9

= \frac{4}{9}

(2 x) x

y e^{- 2 x} \cdot (y e^{x})^{3}

(4 t) (3 t) (5 t^{3})

What is sqrt(\sqrt{\sqrt{(2/3)^{16)}}} ?
The solution to sqrt(\sqrt{\sqrt{(2/3)^{16)}}} is 4/9