For which value of m is the equation below true? x^m x^4=x^8? a m=4. b m=12. c m=32. d m=2

A

Step-by-step explanation:

Using the rule of exponents

× ⇔ , thus

Given

× = , that is

=

Since the bases are the same equate the exponents

4 + m = 8 ( subtract 4 from both sides )

m = 4 → A

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.