First step, write down the expression on one line, using necessary parentheses.
(2^8*5^(-5)*19^0)^(-2) * (5^(-2)/2^3)^4 *2^28
The apply the PEMDAS rule to simplify according to priority:
1. Parentheses
2. Exponentiation
3. Multiplication and Division (left to right)
4. Addition and Subtraction (left to right)
For exponentiation, it is convenient to convert all negative exponents to positive by taking the reciprocal, for example,
a^(-2)= 1/(a^2)
So
(2^8*5^(-5)*19^0)^(-2) * (5^(-2)/2^3)^4 *2^28
=1/[(2^8*5^(-5)*19^0)^(2)] * (1/[5^2*2^3])^4 *2^28
=5^5/[(2^8*19^0)^(2)] * (1/[5^2*2^3])^4 *2^28
Remember positive numbers raised to power zero equals 1, e.g.
a^0=a for any number a.
so 19^0=1
=5^10/[(2^8)^(2)] * (1/[5^2*2^3])^4 *2^28
Now, powers raised to a power equals the product of the powers, e.g.
(2^8)^2=2^16, (5^2)^4=5^8, (2^3)^4=2^12...
continuing,
=5^10/[2^16] * 1/[5^8*2^12] *2^28
When we have exponents to the same base in the denominator and numerator, we subtract exponents, e.g.
5^5/5^8=5^(5-8)=5^(-3), 2^28/[2^16*2^12]=2^(28-16-12)=2^0=1
so we get rid of many terms this way
continuing
=5^(10-8)*2^(28-16-12)
=5^2*2^0
=25*1
=25
Not sure about y but x is 35°! Hope this helps!
Considering that 1 lbs =16 ounces and you need one serving (8oz) then you will make two servings so the answer is two servings hope this helps and have a nice day (:
Answer:
(f + g)(x) = 4x + 1
Step-by-step explanation:
Given f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x):
We can rewrite (f + g)(x) as f(x) + g(x), and solve the composite functions through addition:
f(x) + g(x) = (3x - 1) + (x + 2)
Combine like terms:
f(x) + g(x) = 3x + x + 2 - 1 = 4x + 1
Therefore, (f + g)(x) = 4x + 1.
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
1. The correct answer should be A
2. The answer should be C
3. I think the answer is D
4. The answer should be D
Hope this helps :)