Question

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

Answer 1

Answer:

The order is given below in attachment.

Step-by-step explanation:

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

Given expression is

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

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