Question

Calculati folosind proprietatea (a la puterea m)la puterea n =a la puterea m*n
a) (2 la puterea 4)la puterea 7-2 la puterea 28
b) (3 la puterea 5) la puterea 4 :3 la puterea 19

Answer 1

Explicație pas cu pas:

a)

$( {2}^{4} ) {}^{7} - 2 {}^{28} = \\ = 2 {}^{4 \times 7} - {2}^{28} = \\ = {2}^{28} - {2}^{28} = \\ = 0$

b)

$( {3}^{5} ) {}^{4} \div 3 {}^{19} = \\ = {3}^{5 \times 4} \div {3}^{19} = \\ = {3}^{20} \div {3}^{19} = \\ = 3 {}^{20 - 19} = \\ = {3}^{1} = \\ = 3$