Question

arătați ca nr n=[(5^3)^7:(1+2^2)^10-5^10]:5^2 ca este pătrat perfect
Va rog ajutor!!! ​

Answer 1

Răspuns:

n=[(5^3)^7:(1+2^2)^10-5^10]:5^2

n=[5³ˣ⁷:(1+4)¹⁰-5¹⁰]:5²

n=(5²¹:5¹⁰-5¹⁰):5²

n=(5²¹⁻¹⁰-5¹⁰):5²

n=(5¹¹-5¹⁰):5²

n=5¹⁰(5-1):5²

n=5¹⁰·4:5²

n=5¹⁰⁻²·2²

n=5⁸·2²

n=(5²)⁴·2²

n=(5⁴·2)²este pp