What is \sqrt[8]{\sqrt[6]{25^{24}}} ?

The solution to \sqrt[8]{\sqrt[6]{25^{24}}} is 5

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simplify \sqrt[8]{\sqrt[6]{25^{24}}}

simplify

5

Solution steps

Apply exponent rule:

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

2 5^{4} = 2 5^{0.5 \cdot 8} = (25)^{8}

Apply radical rule:

assuming

a \geq 0

= 25

25 = 5

= 5

9 - x^{2}

8.6 \cdot 1 0^{- 7}

9 x^{4} (2 x^{5})

What is \sqrt[8]{\sqrt[6]{25^{24}}} ?
The solution to \sqrt[8]{\sqrt[6]{25^{24}}} is 5