Answer:
3^16
Step-by-step explanation:
12^8 * 9^12
Rewrite 12 as 3*4 and 9 as 3*3
(3*4)^8 * (3*3)^12
We know that (ab)^c = a^c * b^c
3^8 4^8 3^12 3^12
We can write 4 as 2^2
3^8 2^2^8 3^12 3^12
We know a^b^c = a^(b*c)
3^8 2^(2*8) 3^12 3^12
3^8 2^(16) 3^12 3^12
We also know that a^b *a^c *a^d = a^(b+c+d)
2^(16) 3^8 3^12 3^12
2^(16) 3^(8+12+12)
2^16 3^(32)
But we need 6 ^16 so we will need a 3^16 3^32 = 3^16 * ^16 (16+16=32)
2^16 *3^16 *3^16
Remember a^b*c^b = (ac)^b
(2*3)^16 3^16
6^16 3^16
Answer:

General Formulas and Concepts:
<u>Calculus</u>
Integration
Integration Rule [Reverse Power Rule]: 
Integration Rule [Fundamental Theorem of Calculus 1]: 
Integration Property [Addition/Subtraction]: ![\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%20%7B%5Bf%28x%29%20%5Cpm%20g%28x%29%5D%7D%20%5C%2C%20dx%20%3D%20%5Cint%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5Cpm%20%5Cint%20%7Bg%28x%29%7D%20%5C%2C%20dx)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>

<u>Step 2: Integrate</u>
- [Integral] Rewrite [Integration Property - Addition/Subtraction]:

- [Left Integral] Integration Rule [Reverse Power Rule]:

- [Right Integral] Trigonometric Integration:

- Integration Rule [Fundamental Theorem of Calculus 1]:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
F-1(x) = (x-7) / 2, you can get this by taking 2x + 7, and doing the opposite operations on x. you also need to go in the reverse direction of Order of Operations. So first, we take 7 away from x, since subtraction is opposite from addition, and it is the last thing we would do in order of operations. next we only have the 2 multiplier left, so we put the x-7 in parenthesis, and divide by 2.
32oz make 2 quart.Because 4 Quart is one gallon.
Answer:
x=0 and y=2
Step-by-step explanation:
We have been given system of equations:
2x+5y=10 (1)
And 2x+3y=6 (2)
Subtract equation (2) from(1) we get:
2y=4
y=2
Now, substitute y=2 in equation(2) we get:
2x+3(2)=6
2x+6=6
2x=0
x=0
Hence, x=0 and y=2