Answer:
1
Step-by-step explanation:
When numbers are raised to an exponent/power, it means how many times you are multiplying the number by itself.
Follow BEDMAS order. (Brackets, exponents, division/multiplication, addition/subtraction).
Solve inside the brackets of (8^1)^0 first
(8^1)^0 8^1 is 8. (Any number ^1 is itself).
= 8^0 Any number to the power of 0 is 1.
= 1
You can also follow the exponent rule where: ![(x^{a})^{b} = x^{a*b}](https://tex.z-dn.net/?f=%28x%5E%7Ba%7D%29%5E%7Bb%7D%20%3D%20x%5E%7Ba%2Ab%7D)
(8^1)^0 = 8^(1*0) = 8^0 = 1
Let x be the number.
"twelve decreased by twice a number" ---> 12 - 2x
"8 times the sum of number and 4" ---> 8(x + 4)
12 - 2x = 8(x + 4)
12 - 2x = 8x + 32 (distributive property)
12 = 10x + 32 (add 2x to both sides)
-20 = 10x (subtract 32 from both sides)
x = -2 (divide both sides by 10)
The relation between pressure and volume is given as
v = 18000/p
where
v = volume, in³
p = pressure, lb/in²
When the pressure is p = 900 lb/in², then the volume is
v = 18000/900 = 20 in³
Answer: 20 in³