What is sqrt(\sqrt{\sqrt[7]{\sqrt[10]{16)}}} ?

The solution to sqrt(\sqrt{\sqrt[7]{\sqrt[10]{16)}}} is \sqrt[70]{2}

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Popular >

simplify sqrt(\sqrt{\sqrt[7]{\sqrt[10]{16)}}}

simplify

Decimal Notation

1.00995 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

Apply radical rule:

= (1 6^{\frac{1}{70}})^{\frac{1}{4}}

Apply exponent rule:

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

= 1 6^{\frac{1}{70} \cdot \frac{1}{4}}

\frac{1}{70} \cdot \frac{1}{4} = \frac{1}{280}

= 1 6^{\frac{1}{280}}

(0.000144)^{3} (1331000)^{- 1}

5 e^{- \frac{3}{3}}

(x + y)^{2} \cdot (x - y)^{2}

e^{- 99936}

What is sqrt(\sqrt{\sqrt[7]{\sqrt[10]{16)}}} ?
The solution to sqrt(\sqrt{\sqrt[7]{\sqrt[10]{16)}}} is \sqrt[70]{2}