👤
Nadtimofte2
a fost răspuns

3. Aflaţi rezultatul calculului: (2³)⁷: 4⁹ + 3⁰​

Răspuns :

102533

Răspuns:

9

Explicație pas cu pas:

(2³)⁷: 4⁹ + 3⁰​ =

= 2³ˣ⁷ : (2²)⁹ + 1 =

= 2²¹ : 2²ˣ⁹ + 1 = 2²¹ : 2¹⁸ + 1 =

= 2²¹⁻¹⁸ + 1 = 2³+1 = 8+1 = 9

 

[tex]\displaystyle\bf\\\Big(2^3\Big)^7:4^9+3^0=\\\\=\Big(2^3\Big)^7:\Big(2^2\Big)^9+3^0=\\\\=2^{3\times7}:2^{2\times9}+3^0=\\\\=2^{21}:2^{18}+3^0=\\\\=2^{21-18}+3^0=\\\\=2^3+3^0=\\\\=8+1=\boxed{\bf9}[/tex]