Simplify.

(2y) ^3 • y^-1

Answer choices:

A.) 2y^2

B.) 8y^2

C.) 1/2y^2

D.) 1/8y^2

We have,

(2y) ^3 * y^-1

Simplify the term (2y) ^3

= 8y^3 * y^-1

Now, multiply the terms with the same base y by adding their exponents.

Note: Using exponent product rule x^y * x^z = x^ (y+z)

= 8y^{3 + (-1) }

= 8y^ (3-1)

= 8y^ (3-1)

= 8y^2