Question

126x168=2^x•3^y•7^z dau coroana

Answer 1

Explicație pas cu pas:

$128 \times 168 = {2}^{x} \times {3}^{y} \times {7}^{z}$

$126 = {2}^{1} \times {3}^{2} \times {7}^{1}$

$168 = {2}^{3} \times {3}^{1} \times {7}^{1}$

=>

${2}^{4} \times {3}^{3} \times {7}^{2} = {2}^{x} \times {3}^{y} \times {7}^{z}$

=>

$x = 4 \\ y = 3 \\ z = 2$

=>

$x + y + z = 4 + 3 + 2 = 9$