Question

Am nevoie urgent de acest ex. Dau coroana pt rezolvare detaliata, multumesc!​

Answer 1

Răspuns:

a) = 5²/7=25/7

b) = 1/3⁴=1/81

c) = 10³/2⁵=(1000/32)⁽⁸=125/4

d) = 7/3³=(7/27)⁽⁷=1/3

e) =8²/5³=64/125

f) = 2⁶/3⁵=64/243

Answer 2

Răspuns:

Explicație pas cu pas:

$\bf a)~ \sqrt{\dfrac{5^{4} }{7^{2} } } = \sqrt{\bigg(\dfrac{5^{2} }{7}\bigg)^{2}}=\blue{\dfrac{5^{2} }{7}}$

$\bf b)~ \sqrt{\dfrac{1}{3^{8} } } = \sqrt{\bigg(\dfrac{1}{3^{4}}\bigg)^{2}}=\green{\dfrac{1}{3^{4} }}$

$\bf c)~ \sqrt{\dfrac{10^{6}}{2^{10}}} = \sqrt{\bigg(\dfrac{10^{3}}{2^{5}}\bigg)^{2}}=\purple{\dfrac{10^{3}}{2^{5}}}$

$\bf d)~ \sqrt{\dfrac{7^{2} }{3^{6} } } = \sqrt{\bigg(\dfrac{7^{1} }{3^{2}}\bigg)^{2}}=\red{\dfrac{7}{3^{2}}}$

$\bf e)~ \sqrt{\dfrac{8^{4} }{5^{6} } } = \sqrt{\bigg(\dfrac{8^{2} }{5^{3}}\bigg)^{2}}=\blue{\dfrac{8^{2} }{5^{3}}}$

$\bf f)~ \sqrt{\dfrac{2^{12} }{3^{10} } } = \sqrt{\bigg(\dfrac{2^{6} }{3^{5}}\bigg)^{2}}=\purple{\dfrac{2^{6} }{3^{5}}}$