Question

Calculati:b)153^231×17^231:(9^222×17^222×17^222)

Answer 1

Răspuns: $\color {red}\Large\boxed{ \bf 51^{18} }$

Explicație pas cu pas:

Buna!

$\large\bf b)~153^{231}\cdot 17^{231}:(9^{222}\cdot 17^{222}\cdot 17^{222})=$

$\large\bf 153^{231}\cdot 17^{231}:[(9\cdot 17)^{222}\cdot 17^{222}]=$

$\large\bf 153^{231}\cdot 17^{231}:(153^{222}\cdot 17^{222})=$

$\large\bf 153^{231-222}\cdot 17^{231-222}=$

$\large\bf 153^{9}\cdot 17^{9}=$

$\large\bf (9\cdot17)^{9}\cdot 17^{9}=$

$\large\bf 9^{9}\cdot17^{9}\cdot 17^{9}=$

$\large\bf (3^{2} )^{9}\cdot17^{9+9}=$

$\large\bf 3^{2\cdot 9}\cdot17^{18}=$

$\large\bf 3^{18}\cdot17^{18}=$

$\large\bf (3 \cdot 17)^{18}=$

$\Large\boxed{\boxed{ \bf 51^{18} }}$

==pav38==