Question

d) (9/25) la puterea ? : (3/5) la putere? = (3/5) la puterea 3​

Answer 1

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

Answer 2

Răspuns: Ai demonstrația mai jos

Explicație pas cu pas:

$\bf \bigg(\dfrac{9}{25}\bigg)^{\red{4}} :\bigg(\dfrac{3}{5}\bigg)^{\red{5}} =\bigg(\dfrac{3^{2} }{5^{2} }\bigg)^{4} :\bigg(\dfrac{3}{5}\bigg)^{5} =$

$\bf =\Bigg[\bigg(\dfrac{3}{5}\bigg)^{2}\Bigg]^{4} :\bigg(\dfrac{3}{5}\bigg)^{5} =\bigg(\dfrac{3}{5}\bigg)^{2\cdot4} :\bigg(\dfrac{3}{5}\bigg)^{5} =$

$\bf =\bigg(\dfrac{3}{5}\bigg)^{8} :\bigg(\dfrac{3}{5}\bigg)^{5} =\bigg(\dfrac{3}{5}\bigg)^{8-5}=\purple{\boxed{\bf\bigg(\dfrac{3}{5}\bigg)^{3}}}$