-step explanation:10,000 can be written as a product of its prime factors in the following way: 10,000 = 24 × 54The factors were FOUND in the following order:10,000 = 2 × 5,0005,000 = 2 × 2,5002,500 = 2 × 1,2501,250 = 2 × 625625 = 5 × 125125 = 5 × 2525 = 5 × 5Step 2: Rewrite ∛(10,000)∛(10,000) =∛(24 x 54) =∛(24) × ∛(54)∛(24 x 54) = ∛(24) x ∛(54)Step 3: Simplify ∛(24) x ∛(54)Step 3.1 Rewrite ∛(24)∛(24) = ∛(23) × ∛(21)Step 3.2 Rewrite ∛(54)∛(54) = ∛(23) × ∛(21) × ∛(53) × ∛(51)Step 4: Simplify ∛(24) x ∛(54)Step 4.1 Simplify ∛(23)Using the exponent "product rule", we know that∛(23) = ((2)3)⅓ = 2(3×⅓) = 21 = 2Step 4.2 Simplify ∛(21)As PER raising to the power of ONE: 2^1 = 2So, we can rewrite ∛(21) = ∛(2) = 1.25992104989487Step 4.3 Simplify ∛(53)Using the exponent "product rule", we know that∛(53) = ((5)3)⅓ = 5(3×⅓) = 51 = 5Step 4.4 Simplify ∛(51)As per raising to the power of one: 5^1 = 5So, we can rewrite ∛(51) = ∛(5) = 1.7099759466767Final Result∛(10,000) = 2 × 1.25992104989487 × 5 × 1.7099759466767One real solution was found21.5443469003188