Question

Which expression is equivalent to (64y^100) 1/2

Answer 1

8y^10

Explanation:

(64y^100)1/2

Is simply expressing it all as the square root of 64y^100.

The square root of 64 is 8

The square root of 100 is 10.

Therefore, the expression becomes

8y^10

Answer 2

Explanation:

`\sqrt{64y^(100)}=\sqrt{8^(2)*y^(50*2)}\\\\=\sqrt{8^(2)*(y^(50))^(2)}\\\\=8*y^(50)=8y^(50)`