Question

Helppo meeeee plz ty! explain plz!​

Answer 1

256x^8 y^20

that's the answer I got when I simplified it

Answer 2

`=256x^8y^(20)`

Explanation:

We have the expression:

`(4x^2y^5)^4`

We can use the power of a product property:

`(ab)^x=a^xb^x`

This yields:

`=(4)^4\cdot(x^2)^4\cdot(y^5)^4`

We can evaluate 4 to the fourth:

`=256(x^2)^4\cdot(y^5)^4`

Now, we can use the power of a power property:

`(x^a)^b=x^(ab)`

So:

`=256(x^(2(4)))(y^(5(4)))`

Multiply:

`=256x^8y^(20)`

And we're done!