Calculati:a) 25^10×5^30:125^16:(5^3)^0​

Răspuns: [tex]\bf \purple{\underline{~5^{2}~}}[/tex]

[tex]\bf 25^{10}\cdot 5^{30}:125^{16}:(5^3)^{0} =[/tex]

[tex]\bf (5^{2})^{10}\cdot 5^{30}:(5^3)^{16}:5^{3\cdot 0} =[/tex]

[tex]\bf 5^{2\cdot 10}\cdot 5^{30}:5^{3\cdot 16}:5^{0} =[/tex]

[tex]\bf 5^{20}\cdot 5^{30}:5^{48}:5^{0} =[/tex]

[tex]\bf 5^{20+30-48-0}=\purple{\underline{~5^{2}~}}[/tex]

Răspuns:

a) 25¹⁰×5³⁰:125¹⁶:(5³)⁰=

(5²)¹⁰·5³⁰:(5³)¹⁶:5³ˣ⁰=

5²ˣ¹⁰·5³⁰:5³ˣ¹⁶:5⁰=

5²⁰⁺³⁰⁻⁴⁸:1=

5²:1=5²