Question

Scrie ca o singură putere ex 4la puterea16×16la puterea15=
Si
25la puterea10:5la puterea16

Answer 1

4^16 = (2^2)^16 = 2^32
16^15 = (2^4)^15 = 2^60
2^32 • 2^60 = 2^(32+60) = 2^92

25^10 = (5^2)^10 = 5^20
5^20 : 5^16 = 5^(20-16) = 5^4

Answer 2

4¹⁶ x 16¹⁵ = 4¹⁶ x ( 4² )¹⁵ = 4¹⁶ x 4²ˣ¹⁵ = 4¹⁶ x 4³⁰ = 4⁽ ¹⁶ ⁺ ³⁰ ⁾ = 4 ⁴⁶

25¹⁰ : 5¹⁶ = ( 5² )¹⁰ : 5¹⁶ = 5²⁰ ⁻ ¹⁶  = 5⁴