Simplifying Algebraic Expressions

Question

(8x−15)^(−6/5) (4x+4)^(−3/5) + (8x−15)^(−1/5) (4x+4)^(−8/5)

Answer 1

Make the denominators the same.

(8x − 15)^−6/5 (4x + 4)^−3/5 + (8x − 15)^−1/5 (4x + 4)^−8/5

1 / (8x − 15)^6/5 (4x + 4)^3/5 + 1 / (8x − 15)^1/5 (4x + 4)^8/5

Least common multiple (LCM) = (8x − 15)^6/5 (4x + 4)^8/5

(4x + 4)⁵ / (8x − 15)^6/5 (4x + 4)^8/5 + (8x − 15)⁵/ (8x − 15)^6/5 (4x + 4)^8/5

(4x + 4)⁵ + (8x − 15)⁵ / (8x − 15)^6/5 (4x + 4)^8/5