Question

8.\sqrt[4]{10000} - 6. \sqrt[4]{4096}

Answer 1

10000 | 2
5000 | 2
2500 | 2
1250 | 2
625 | 5
125 | 5
25 | 5
5 | 5
1

Agora vc pega os números iguais de 4 em 4:
2 * 5 = 10
$\sqrt[4]{10000} = 10$

4096 | 2
2048 | 2
1024 | 2
512 | 2
256 | 2
128 | 2
64 | 2
32 | 2
16 | 2
8 | 2
4 | 2
2 | 2
1
2 * 2 * 2 = 8

$\sqrt[4]{4096} = 8$

8 * 10 - 6 * 8
80 - 48
32

Answer 2

$8\cdot\sqrt[4]{10000}-6\cdot\sqrt[4]{4096}=8\cdot\sqrt[4]{10^4}-6\cdot\sqrt[4]{2^{12}}=8\cdot10-6\cdot2^3=80-6\cdot8\\\\=80-48=\boxed{32}$