Question

Please answer ASAP pls (25 Points)

Answer 1

`y=(1)/(625)`

Explanation:

Given equation:

`y=\left((1)/(5)\right)^x`

Substitute x = 4 into the given equation:

`\implies y=\left((1)/(5)\right)^4`

`\textsf{Apply exponent rule} \quad \left((a)/(b)\right)^c=(a^c)/(b^c):`

`\implies y=(1^4)/(5^4)`

Simplify:

`\implies y=(1*1*1*1)/(5*5*5*5)`

`\implies y=(1)/(25*5*5)`

`\implies y=(1)/(125*5)`

`\implies y=(1)/(625)`