Question

Which expression is equivalent to the given expression (7y⁶) (2y⁻⁴)²

a) 14y²
b) 14y²-8
c) 14y⁸
d) 14y²+8

Answer 1

The expression (7y⁶) (2y⁻⁴)² is equivalent to 14y⁸.

Step-by-step explanation:

The expression (7y⁶) (2y⁻⁴)² can be simplified by using the laws of exponents. Let's break it down step by step:

1. Start by multiplying the exponents within each term: 7 * 2 = 14 and 6 + (-4)*2 = 6 - 8 = -2.
2. Combine the bases: y⁶ * y⁻⁴ * y⁶ = y⁸.
3. Combine the coefficients: 14 * 1 = 14.

Therefore, the expression (7y⁶) (2y⁻⁴)² is equivalent to 14y⁸, which corresponds to option c.