Question

Look at the picture and plzzz help and give me the right answer

Answer 1

Answer:

Below is the sequence of steps which are required to follow in order to have the expression in its simplified form.

Step 1

$(875x^{5}y^{9})^{\frac{1}{3}}$

Step 2

$(125.7)^\frac{1}{3}.x^{\frac{3}{5}}.y^{\frac{9}{3}}$

Step 3

$(125)^{1/3}.(7)^{1/3}.x(^{\frac{3}{3}+\frac{2}{3}}).y^{3}}$

Step 4

$(5^{3} )^{\frac{1}{3}}.7^\frac{1}{3}.x^{(1+\frac{2}{3})}.y^{3}$

Step 5

$5^{1}.7^\frac{1}{3}.x^{1}.x^\frac{2}{3}.y^3$

Step 6

5xy³($7^{\frac{1}{3} }$$x^{\frac{2}{3} }$)

Step 7

5xy³($7x^{2}$)$\frac{1}{3}$

Step 8

5xy³$\sqrt[3]{7x^{2}}$