Question

Order the simplifications, last box is 5× x × y^3 × (7 ^ 1/3 × x ^ 2/3)​

Answer 1

The order is given below in attachment.

Explanation:

Given the expression and its steps to solve the above given expression. we have to find the order of simplification.

Given expression is

`\sqrt[3]{875x^5y^9}\\ \\=(875x^5y^9)^{(1)/(3)}\\\\\text{Apply distributive property of multiplication}\\\\=(125.7)^{(1)/(3)}x^{(5)/(3)}y^{(9)/(3)}\\\\=(125)^{(1)/(3)}.(7)^{(1)/(3)}.x^{((3)/(3)+(2)/(3))}.y^3\\\\=(5^3)^{(1)/(3)}.7^{(1)/(3)}.x^{(1+(2)/(3))}.y^3\\\\=5^1.7^{(1)/(3)}.x^1.x^{(2)/(3)}.y^3\\\\=5xy^3(7x^2)^{(1)/(3)}\\\\=5xy^3\sqrt[3]{7x^2}`

Hence, the order of simplification according to given steps is also displayed in attachment.