Answer:
a¹⁸b²⁴c⁵⁴
Step-by-step explanation:
(aᵇ)ᶜ = aᵇᶜ = aᵇ×ᶜ
(-aⁿ)ᵒᵈᵈ = -aⁿ
(-aⁿ)ᵉᵛᵉⁿ = aⁿ
aⁿ × aⁿ = aⁿ⁺ⁿ
_________
In this situation, 6 is an even exponent which means that the negative coefficient of this 9th degree monomial will be positive. Now the only step is to multiply the exponents by the exponent outside of the perenthesis which is 6.
so (-a³b⁴c⁹)⁶ = ((-a³)⁶(b⁴)⁶(c⁹)⁶) = ((a³ˣ⁶)(b⁴ˣ⁶)(c⁹ˣ⁶)) = ((a¹⁸)(b²⁴)(c⁵⁴)) = <em>a¹⁸b²⁴c⁵⁴</em>
You complete the square
Vertex form is

so break it into parts

to keep the equation in balance to add and subtract the same value
so value ?? is

then factor the perfect square
5^3*5^6 = 1953125
This is because you need to do 5*5*5 = 125.
Then, do 5*5*5*5*5*5 = 15,625.
Now, multiply 15,625 by 125.
This should leave you with 1953125.
The efficient way might be solving for the crossing point of the two lines:
Add 2 equations together, you will get:
2y = 16 -> y = 8
Then, x = 3
So the point will be (3,8)
Apparently, A will be the answer
0.45 as a fraction is 45/100.
Showing your work is kind of hard since it's common sense BUT
BUT
you asked in SIMPLEST FORM!
SO,
When you think "What can go into 45?" You'd probably think of 5 first.
if not, then work your way out.
10? No
9? Yes! But can 9 go into 100? No.
8? No
7? No
6? No.
5? Yes!
4? No.
3? No
2? No
1? Yes, but we can't use 1 now, can we?
45 is divisible by 5. Anything lower? No, other than 1.
is 100 divisble by 5? Yes.
45 / 5 = 9
100 / 5 = 20.
Therefore, it is 9/20.
(For the work portion, you dont have to include the countdown, thats just me explaining it.)