Question

ПОЖАЛУЙСТА, напишите полные решения.

Answer 1

Ответ:

1) ответ 3: 7/75

2) ответ 2: 7

3) ответ 1: $\sqrt{2}$

Объяснение:

1) 49/(5$\sqrt{21}$)^2 = 49/(5^2*($\sqrt{21}$)^2) = 49/(25*21) = (7*7)/(25*3*7) = 7/(25*3) = 7/75

2) (7^-11)^2/(7^-23) = 7^-22/7^-23 = 7^(-22-(-23) = 7^(-22+23) = 7

3) $\sqrt{98}$/7 = $\sqrt{49*2}$/7 = ($\sqrt{49}$*$\sqrt{2}$)/7 = 7*$\sqrt{2}$/7 = $\sqrt{2}$

Answer 2

1.

$\frac{49}{ ({5 \sqrt{21} )}^{2} } = \frac{49}{25 \times 21} = \frac{49}{525} = \frac{7}{75}$

2.

$\frac{ ({7}^{ - 11}) {}^{2} }{ {7}^{ - 23} } = \frac{ {7}^{ - 22} }{ {7}^{ - 23} } = {7}^{ - 22} \div {7}^{ - 23} = {7}^{ - 22 - ( - 23)} = {7}^{1} = 7$

3.

$\frac{ \sqrt{98} }{7} = \frac{7 \sqrt{2} }{7} = \sqrt{2}$