Question

Simplify root of x raise to -2 y raise to 3

Answer 1

Answer:

yooo

Step-by-step explanation:

In this next example you need to pay close attention to the index. Whenever the index is even the answer to the radical must be positive. To guarantee that the answer is positive you may need to use absolute value bars. If in the answer the base is raised to an even power, no absolute value bars are needed, since the answer is guaranteed to be positive.

For example: square root of x squared = | x |, whereas sixth root of y to the 24 power = y4

We do not know for SURE that x is positive, there we must use the absolute value bars.

Since y4 is positive, no absolute value bars are needed. When you multiply a number to itself an even number of times, the result is always positive.

Answer 2

${x}^{ - 2} {y}^{3}$

$= \frac{1}{ {x}^{2} } {y}^{3}$

$= \frac{ {y}^{3} }{ {x}^{2} }$

Hence,

${x}^{ - 2} {y}^{3 } = \frac{ {y}^{3} }{ {x}^{2} }$