8) You have a line segment that is split into two (not equal) pieces. You know the length of the original segment and the length of the smaller piece. Explain how you would find the length of the larger piece.

You would take the original piece amount and subtract the smaller amount from that. This will give you the amount of the unknown piece.

Step-by-step explanation:

The answer to your question is 2, 1/2, 1, 2

Step-by-step explanation:

a) 3² 4³ 2⁻¹ / (3 4)² = (3²)(4²) 4 (2⁻¹) / (3 4)² = (3  4)² 2² 2⁻¹ / (3  4)² = 2

b) 2⁴ 3⁵ / (2 3)⁵ = 2⁴ 3⁴ 3 / (2 3)⁵ = (2 3)⁴ 3 / (2 3)⁵ = 3 / 2 3 = 1/2

c) 3⁻³ 2⁻³ 6³ / (4°)² = (3 2)⁻³ 6³ / 1² = 6⁻³ 6³ = 1

d) (3 2)⁴ 3⁻³ / 2³3 = 3⁴2⁴ 3⁻³ / 2³3 = 3 2 / 3 = 2