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