10 points are awarded! : (
will give brainliest for best explanations!

can someone show me how to solve indices problems and show me solutions to some of them? i really am struggling at these indices problems and need asap! ; -;

Step-by-step explanation:

To solve indices problems you need to know the laws of indices.

The laws will guide you in answering any problem related to indices, these laws are for a ≠ 0

law 1

aᵇ * aⁿ = aᵇ⁺ⁿ

example 5³ * 5⁵ = 5³⁺⁵= 5⁸

law 2

aᵇ / aⁿ = aᵇ⁻ⁿ

example 7⁵/ 7³ = 7⁵⁻³ = 7²

law 3

(aᵇ)ⁿ = aᵇⁿ

example (5³)⁴ = 5³ * 5⁴ = 5¹²

law 4

a⁰ = 1

example 8⁰ = 1

law 5

a⁻ⁿ = 1/aⁿ

example 7⁻² = 1/7² = 1/49

law 6

a^¹/ₙ = ⁿ√a

example 27^¹/₃ = ∛27 = 3

law 7

a^ᵇ/ₙ = (ⁿ√a)ᵇ = ⁿ√aᵇ

example 8^²/₃ = (∛8)² = (2)² = 4

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)