How do you know what power to raise both sides of an equation to if the indexes of the radicals are different?

Step-by-step

When they are equal, they are equal.

Equal quantities raised to the same power are still equal.

It's the eventual solution that may (or may not) present difficulties.

For example, if

P = Q+R

then

P^3 = (Q+R)^3

where

Q = 2^8

R =  16^2

P = 2^9 = 512

P^3 = 2^27

(Q+R)  = (256+256) = 512 = 2^9

(Q+R)^3 = 512^3 = (2^9)^3 = 2^27

So they are still equal.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq