What is sqrt(\sqrt{\sqrt{256(a^{16)b^4)^2}}} ?

The solution to sqrt(\sqrt{\sqrt{256(a^{16)b^4)^2}}} is 2a^4b

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simplify sqrt(\sqrt{\sqrt{256(a^{16)b^4)^2}}}

simplify

256 (a^{16} b^{4})^{2}

2 a^{4} b

Solution steps

256 (a^{16} b^{4})^{2}

Simplify

256 (a^{16} b^{4})^{2} : 4 a^{8} b^{2}

= 4 a^{8} b^{2}

4 a^{8} b^{2} = 4 a^{8} b^{2}

= 4 a^{8} b^{2}

4 = 2

= 2 a^{8} b^{2}

Simplify

a^{8} : a^{4}

= 2 a^{4} b^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

b^{2} = b

= 2 a^{4} b

(x - 3)^{2} (x + 2)^{2}

(\frac{9}{8})^{2}

3 e^{- 2 t}

0.25 \cdot 1 0^{- 3}

What is sqrt(\sqrt{\sqrt{256(a^{16)b^4)^2}}} ?
The solution to sqrt(\sqrt{\sqrt{256(a^{16)b^4)^2}}} is 2a^4b