If this is an exponent, it would be 4 x 4 x 4 x 4 x 4 in expanded form.
<h2>
Hello!</h2>
The answer is:
The second option,
b.) 
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Why?</h2>
We are given the functions E(x) and K(x), since they both are function of the same variable, we need to add them in order to find the correct option.
From the statement we know the functions:

and

So, adding the functions we have:




Hence, the answer is the second option,
b.) 
Have a nice day!
Answer:
The answer to your question is the first option
Step-by-step explanation:
64
Process
1.- Find the prime factors of 64
64 2
32 2
16 2
8 2
4 2
2 2
1
64 = 2⁶
2.- Express 64 as a fractional exponent
64
3.- Simplify
64
64
64![^{1/4} = 2\sqrt[4]{2^{2}}](https://tex.z-dn.net/?f=%5E%7B1%2F4%7D%20%3D%202%5Csqrt%5B4%5D%7B2%5E%7B2%7D%7D)
4.- Result
64
Step-by-step explanation:
to compare them, we should all bring to the same denominator.
the lcm (lowest common multiplier) is the that denominator.
let's use the approach of the prime factors :
3 : 3
5 : 5
32 : 2×2×2×2×2
24 : 2×2×2×3
the lcm is the combination of the longest "streaks" of the prime factors.
so,
2×2×2×2×2 × 3 × 5 = 32×15 = 480
2/-3 = -2/3 = -320/480 (as 3×160 = 480)
-4/5 = -4×96 / 5×96 = -384/480 (as 5×96 = 480)
21/-32 = -21/32 = -315/480 (as 32×15 = 480)
-15/24 = -15×20 / 24×20 = -300/480 (24×20 = 480)
as
-384/480 < -320/480 < -315/480 < -300/480
we can say
-4/5 < -2/3 < -21/32 < -15/24
Answer:
see below
Step-by-step explanation:
dilation with a scale factor of 1/3 means the distances to the center shrink by 1/3
so for center (4,-2)
distance of (7,4) is 3 n 6 to center
1/3 of distance = 1 n 2
so (7,4) become (4+1, -2+2) = (5, 0) after the dilation
similarly u can find the other 2 pts
distance of (-2,4) is -6 n 6 to center
1/3 of distance = -2 n 2
so (-2,4) become (4-2, -2+2) = (2, 0) after the dilation
distance of (1, 10) is -3 n 12 to center
1/3 of distance = -1 n 4
so (1,10) become (4-1, -2+4) = (3, 2) after the dilation
plot the new triangle using the 3 pts