Question

Ex din imagine, vă rog!!

Answer 1

Rezolvarea in atasament!

Answer 2

Salutare!

a)

$\bf [(-9)^{n}]^{2}=81^{3}$

$\bf (-9)^{n \cdot 2}=(9^{2})^{3}$

$\bf (-9)^{2n}=9^{2\cdot 3}$

$\bf (-9)^{2n}=9^{6}$

$\bf 9^{2n}=9^{6}\Rightarrow 2n =6\Rightarrow \boxed{\bf n = 3}$

b)

$\bf (+8)^{n}\cdot(-3)^{n}=(-24)^{6}$

$\bf (-24)^{n}=(-24)^{6}\Rightarrow \boxed{\bf n=6}$

c)

$\bf (-8)^{n}\cdot(+18)^{n}=(-144)^{5}$

$\bf (-144)^{n}=(-144)^{5} \Rightarrow \boxed{\bf n = 5}$

d)

$\bf [(-12)^{2}]^{n}=144^{3}$

$\bf (-12)^{n \cdot 2}=(12^{2})^{3}$

$\bf (-12)^{2n}=12^{2\cdot 3}$

$\bf 12^{2n}=12^{6}\Rightarrow 2n =6\Rightarrow \boxed{\bf n = 3}$