Question

com urgência por favor​

Answer 1

1)

$\frac{15}{4} = 3.75$

2)

$32.4 = \frac{324}{10} \div 2 = \frac{162}{5}$

3)

$0.29292... = \frac{29}{99}$

4)

$\frac{512 \times {10}^{49} }{8 \times {10}^{20} } = \frac{512 \times {10}^{49 - 20} }{8} = \frac{512 \times {10}^{29} }{8} = \frac{ {2}^{9} \times {10}^{29} }{ {2}^{3} } = {2}^{9 - 3} \times {10}^{29} = \\ {2}^{6} \times {10}^{29} = 64 \times {10}^{29} = 6.4 \times {10}^{30}$

5)

${3}^{4} - \sqrt[4]{625} = {3}^{4} - \sqrt[4]{ {5}^{4} } = {3}^{4} - 5 = 81 - 5 = 76$

Answer 2

Resposta:

1) 15/4 = 3,75

2) 32,4 = 324/10 = 162/5

3) x = 0,292929..

100x = 29,292929..

100x - x = 29

99x = 29

x = 29/99

4)

a = 512 * 10^49

b = 8 * 10^20

a/b = (512/8) * (10^(49 - 20)

a/b = 64 * 10^29

a/b = 6,4 * 10^30

5)

3^4 = 81

⁴√625 = ⁴√(5*5*5*5) = 5

81 - 5 = 76