Question

S T Q Q S determine corretamente qual dos valores indicados no quadro substitui cada □
a)⁴√□=9
b) ³√2197=□
c)⁵√□=6
d)□√81=3
e)⁶√□=4
f)⁴√1296=□

4096 6 7776 13 6561 4​

Answer 1

a)

$\sqrt[4]{\boxed{\red{6561}}} = 9\\ \sqrt[4]{x} = 9 \\ x = {9}^{4} \\ x = 6561$

b)

$\sqrt[3]{2197} = \boxed{\red{13}}$

c)

$\sqrt[5]{\boxed{\red{7776}}} = 6 \\ \sqrt[5]{x} = 6 \\ x = {6}^{5} \\ x = 7776$

d)

$\sqrt[\boxed{\red{4}}]{81} = 3 \\ \sqrt[x]{81} = 3 \\ {3}^{x} = 81 \\ {3}^{4} = 81$

e)

$\sqrt[6]{\boxed{\red{4096}}} = 4 \\ \sqrt[6]{x} = 4 \\ x = {4}^{6} \\ x = 4096$

f)

$\sqrt[4]{1296} =\boxed{\red{ 6}} \\ \sqrt[4]{1296} = x \\ 1296 = {x}^{4} \\ 1296 = {6}^{4}$