Question

2 la puterea 6 ×4 la puterea a 2=?
25 la puterea 8×125 la puterea 5=?

Answer 1

2 ⁶ x 4 ² = 64 x 16 = 1 024

2⁶ x ( 2²) ² = 2⁽ ⁶ ⁺ ⁴ ⁾ = 2¹⁰ = 1 024

25⁸ x 125 ⁵ = ( 5²) ⁸ x ( 5 ³ )⁵ = 5 ¹⁶ x 5 ¹⁵ = 5 ⁽ ¹⁶ ⁺ ¹⁵ ⁾ = 5 ³¹

Answer 2

Zi bună !

$1. \\ \\ 2^6 * 4^2 = ?\\ \\ 2^6 * 4^2 = \\ \\ 2^6 * ( 2 ^ 2 ) ^2 = \\ \\ 2^6 * 2^{ 2 * 2 } = \\ \\ 2^6 * 2^4 = \\ \\ = 2^{(6+4)} = 2^{10}=1024\\ \\ 2.\\ \\ 25^8 * 125^5 = \\ \\ (5^2)^8 * 125 ^ 5 = \\ \\ (5^2)^8 * (5^3)^5=\\ \\ 5^{2*8} * 5^{3*5} = \\ \\ 5^{16} * 5^{15} = 5^{31}\\\\ ---------------------------------------$