Answer:
c = 7
d = 5
Step-by-step explanation:
combining coefficient a with the nth root of b: a√ⁿb = √ⁿ((a)ⁿb). This is the reverse of simplifying a radical.
8x³√²7x = √²((8x³)²)√²(7x) = √²(64x⁶)√²(7x) = √²((64x⁶)(7x)) = √²((64 × 7)(x⁶ × x)) = √²((448)(x⁷)) = √²448x⁷ →
√²448x⁷ = √²448xᶜ.
7 → c, √²448x⁷ = √²448x⁷, c = 7.
4x√³9x² = √³((4x)³)√³(9x²) = √³(64x³)√³(9x²) =
√³((64x³)(9x²)) = √³((64 × 9)(x³ × x²)) = √³((576)(x⁵)) = √³576x⁵ →
√³576x⁵ = √³576xᵈ.
5 → d, √³576x⁵ = √³576x⁵, d = 5.
