Question

a=27la puterea 31 -2•9la puterea 46​

Answer 1

Răspuns:

$\bf \: a = {3}^{92}$

Explicație pas cu pas:

Salutare!

$\bf \: a = {27}^{31} - 2 \cdot {9}^{46}$

$\bf \: a = ({ {3}^{3} })^{31} - 2 \cdot ({ {3}^{2} })^{46}$

$\bf \: a = {3}^{3 \cdot31} - 2 \cdot {3}^{2\cdot46}$

$\bf \: a = {3}^{93} - 2 \cdot {3}^{92}$

$\bf \: a = {3}^{92} \cdot( {3}^{93 - 92} - 2 \cdot {3}^{92 - 92})$

$\bf \: a = {3}^{92} \cdot( {3}^{1} - 2 \cdot {3}^{0})$

$\bf \: a = {3}^{92} \cdot( 3 - 2 \cdot 1)$

$\bf \: a = {3}^{92} \cdot( 3 - 2)$

$\bf \: a = {3}^{92} \cdot1$

$\boxed{\bf \: a = {3}^{92}}$

==pav38==

Answer 2

Răspuns:

Explicație pas cu pas: