(10 - 6)^3 * 4^2 + (10 + 2)^2
4^3 * 4^2 + 12^2
4^5 + 12^2
1024 + 144
1168 <==
Answer:
see below
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
FOIL
8(n^2 +2n+4n+8) = 1144
Divide each side by 8
8/8(n^2 +2n+4n+8) = 1144/8
(n^2 +2n+4n+8) = 143
Combine like terms
n^2 +6n+8 = 143
Subtract 143 from each side
n^2 +6n+8 -143= 0
Combine like terms
n^2 +6n -135 =0
Factor
What two terms multiply to -135 and add to 6
-9*15 =-135
-9+15 = 6
(n-9) (n+15) =0
Using the zero product property
n-9 =0 n+15=0
n = 9 n=-15
The length cannot be negative so n = -15 cannot be a solution
n =9
Note that both 5 and 4 are exponents, and their product is 5*4=20, or 4*5=20. Thus,
(3^5)^4 is equal to (3^4)^5
Review:
(a to the power b)to the power c = a to the power bc.
Thus, (3 to the power 5)^4 = 3^20; the same is true if you reverse the positions of the 5 and the 4.
Answer:
1
Step-by-step explanation:
2-1=1
