Answer: b.) 40
Given that:
f(x) = 5 × 2ˣ
To find f(3), simplify insert [x = 3] in the given equation:
f(3) = 5 × 2³
f(3) = 5 × 2 × 2 × 2
f(3) = 40
6/3 = 6 divided by 3
= 2
12/6= 12 divided by 6
= 2
Answer:
0.02272
Step-by-step explanation:
Y = mx + b
slope(m) = -4
(-2,5)....x = -2 and y = 5
now we sub into the formula and find b, the y int
5 = -4(-2) + b
5 = 8 + b
5 - 8 = b
-3 = b
so ur equation is : y = -4x - 3 <==
It can be useful to know the prime factorization of the number:

Then, remember that the n-th root of a number is the same as that number to the 1/n-th power:
![\sqrt[4]{256} = 256^{\frac{1}{4}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B256%7D%20%3D%20256%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)
Finally, you have to remember the rule for raising a power to another power, i.e. you multiply the exponents:

Put together everything we said so far to write
![\sqrt[4]{256} = 256^{\frac{1}{4}} = (2^8)^{\frac{1}{4}} = 2^{\frac{8}{4}} = 2^2 = 4](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B256%7D%20%3D%20256%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%3D%20%282%5E8%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%3D%202%5E%7B%5Cfrac%7B8%7D%7B4%7D%7D%20%3D%202%5E2%20%3D%204%20)