Question

quanto que dá
${3}^{20} \times {4}^{17}$
​

Answer 1

Resposta:

5.99025e+19

Explicação passo-a-passo:

3^20 = 3.486.784.401

4^17 = 17.179.869.184

Assim,

3^20 . 4^17 = 5.99025e+19

Answer 2

Resposta:

59.902.499.882.000.000.000.000.000.000.000

Explicação passo-a-passo:

= 3^20 . 4^17

= 3^5 . 3^5 . 3^5 . 3^5 . 4^10 . 4^7

= (3^5 ) ^ 4

= 243.243.243.243

= 59049 . 59049

= 3486784401 . 1048576 . 16384

= 3,486784401 . 10^9 . 1,048576. 10^6 . 1,6384 . 10^4

= 10^19 . 1,6384 . 1,048576 . 3,486784401

= 16384 . 10^ (-4). 10^19

= 16384.10^15 . 1,048576 . 3,486784401

= 17179,869184 . 10^15 . 3,486784401

= 59902,499882 . 10^15

= 59902499882 . 10^6 . 10^15

= 59902499882. 10^(6+15)

= 59902499882 . 10^21

= 59.902.499.882.000.000.000.000.000.000.000

----------------------

Obs.:

3^5 = 243

4^3 = 4.4.4 = 64

4^4 = 256

4^5 = 1024

4^7 = 4^5.4^2 = 1024.16 = 16384

= 4^10

= 4^5.4^5 = 1024.1024= 1048576