Question

va rog, dau coroana, e urgent, cat mai repede​

Answer 1

Răspuns:

a) 4

b) 1/2

c) 81/625

d) 4

e) 6x²y⁸

Explicație pas cu pas:

a) $(\sqrt[3]{2} )^{6} = 2^{\frac{6}{3} } = 2^{2} = 4$

b) $(\sqrt[4]{(\frac{1}{2})^{2} } )^{2} = (\frac{1}{2} )^{\frac{4}{4} } = \frac{1}{2}$

c) $(\sqrt[5]{(\frac{3}{5})^{2} } )^{10} = (\frac{3}{5} )^{\frac{20}{5} } = (\frac{3}{5} )^{4} = \frac{81}{625}$

d) $\sqrt[3]{4\sqrt{256} } = \sqrt[3]{4*16} = \sqrt[3]{64} = \sqrt[3]{2^{6} } = 2^{\frac{6}{3} } = 2^{2} = 4$

e) $\sqrt{\sqrt{1296x^{8}y^{32} } } = \sqrt[4]{6^{4} } * \sqrt[4]{x^{8} } *\sqrt[4]{y^{32} } = 6*x^{\frac{8}{4} } * y^{\frac{32}{4} } = 6x^{2} y^{8}$