What is \sqrt[4]{\sqrt[3]{7y}} ?

The solution to \sqrt[4]{\sqrt[3]{7y}} is \sqrt[12]{7}\sqrt[12]{y}

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simplify \sqrt[4]{\sqrt[3]{7y}}

simplify

Solution steps

Apply radical rule:

= ((7 y)^{\frac{1}{3}})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= (7 y)^{\frac{1}{3} \cdot \frac{1}{4}}

\frac{1}{3} \cdot \frac{1}{4} = \frac{1}{12}

= (7 y)^{\frac{1}{12}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

100 (2.5)^{- 0.22 (2.5)}

x x + y

1.8 \cdot 1 0^{- 5} \cdot 0.71142

\frac{0.73 \cdot 1 0 ^{- 3}}{0.64} \cdot (2 \cdot 0.64 \cdot 196)^{2}

\frac{x - 2}{x + 4}

What is \sqrt[4]{\sqrt[3]{7y}} ?
The solution to \sqrt[4]{\sqrt[3]{7y}} is \sqrt[12]{7}\sqrt[12]{y}