Explicație pas cu pas:
(9/25)la puterea x : (3/5) la puterea z=(3/5)³
(9/25)=(3/5)²+(3/5) la puterea x
(3/5) la piterea z
exemplu) x=2,z=1
(3/5)⁴: (3/5)¹=(3/5)³
Răspuns: Ai demonstrația mai jos
Explicație pas cu pas:
[tex]\bf \bigg(\dfrac{9}{25}\bigg)^{\red{4}} :\bigg(\dfrac{3}{5}\bigg)^{\red{5}} =\bigg(\dfrac{3^{2} }{5^{2} }\bigg)^{4} :\bigg(\dfrac{3}{5}\bigg)^{5} =[/tex]
[tex]\bf =\Bigg[\bigg(\dfrac{3}{5}\bigg)^{2}\Bigg]^{4} :\bigg(\dfrac{3}{5}\bigg)^{5} =\bigg(\dfrac{3}{5}\bigg)^{2\cdot4} :\bigg(\dfrac{3}{5}\bigg)^{5} =[/tex]
[tex]\bf =\bigg(\dfrac{3}{5}\bigg)^{8} :\bigg(\dfrac{3}{5}\bigg)^{5} =\bigg(\dfrac{3}{5}\bigg)^{8-5}=\purple{\boxed{\bf\bigg(\dfrac{3}{5}\bigg)^{3}}}[/tex]
