How can (4x⁵/2x²)³ be solved in 2 different ways

We assume that we need to simplify the expression in two different ways.

One way: Raise both, the numerator and denominator, to the third power, and then simplify the expression.

Second way: Simplify the terms inside parentheses, and then raise the result to the third power.

The result of both ways is the same:

Step-by-step explanation:

One way

Raise both, the numerator and denominator, to the third power, and then simplify the expression:

This is the first simplification.

Second way

Simplify the terms inside parentheses, and then raise the result to the third power.

or .

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.