Question

Ajudem aí favor, sei fazer n​

Answer 1

1 a)

$\sqrt{ {a}^{7} } = \sqrt{ {a}^{5} \cdot {a}^{2} } = a \sqrt{ {a}^{5} }$

b)

$\sqrt[3]{ {m}^{7} } = \sqrt[3]{ {m}^{3} \cdot {m}^{3} \cdotm} = {m}^{2} \sqrt[3]{m}$

c)

$\sqrt[4]{ {m}^{7} } = \sqrt[4]{ {m}^{4} \cdot {m}^{3} } = m \sqrt[4]{ {m}^{3} }$

d)

$\sqrt[5]{ {x}^{6} } = \sqrt[5]{ {x}^{5} \cdot x} = x\sqrt[5]{x}$

e)

$\sqrt[7]{ {a}^{9} } = \sqrt[7]{ {a}^{7} \cdot {a}^{2} } = a \sqrt[7]{ {a}^{2} }$

2 a)

$\sqrt{ {2}^{9} } = \sqrt{ {2}^{2} \cdot {2}^{7} } = 2 \sqrt{ {2}^{7} }$

b)

$\sqrt[3]{ {5}^{10} } = \sqrt[3]{ {5}^{3} \cdot{5}^{3} \cdot{5}^{3} \cdot5} = 125\sqrt[3]{5}$

c)

$\sqrt[4]{ {7}^{9} } = \sqrt[4]{{7}^{4} \cdot{7}^{4} \cdot7} = 49 \sqrt[4]{7}$

d)

$\sqrt[5]{ {6}^{8} } = \sqrt[5]{ {6}^{5} \cdot {6}^{3} } = 6 \sqrt[5]{ {6}^{3} }$