Answer:
The simplified expression is 16^-1/6
Step-by-step explanation:.
16^5/4•16^1 /4/ (16^1/2)^2
The dot means multiplication. The expression is rewritten as
16^5/4 × 16^1/4 / (16^1/2)^2
Recall the following rules of indices
1) y^a × y^b = y^(a+b)
2) (y^a)^b = y^ab
y^b/ y^a = y^(b-a)
Applying these rules of indices
16^5/4 × 16^1/4= 16^((5/4×1/4) = 16^((5/16)
(16^1/2)^2= 16^ 1/2×2 = 16^1 = 16
Therefore
16^5/4 × 16^1/4 / (16^1/2)^2
= 16^(5/16) /16
=16^(5/6) × 16^-1
= 16^ (5/6)-1
= 16^-1/6)
,The simplified expression is 16^-1/6
Answer:
Step-by-step explanation:
I wish you the best of luck you are strong and loved you are very smart happy holidays love you may god bless you
-2 / 5y = 4
Multiply both sides by 5y:
-2/ 5y * 5y = 4 * 5y
refine: -2 = 20 y
Switch sides:
20 y = - 2
Divide both sides by 20
20 y / 20 = - 2 / 20
y = -1/10
hope this helps!
Answer:
3/2 or 1 1/2 or 1.5
Step-by-step explanation:
first do the equations in each parentheses:
(-5+2) = -3
(-1/2) = -1/2
then multiply both sides:
-3 • -1/2 (which is the same as -3 • -1 over 2)
= 3/2 or 1 1/2 or 1.5
Answer: length of the drive way = 56 feet
Width of the driveway = 12 feet
Step-by-step explanation:
The rectangular driveway has two equal lengths and two equal widths. The area of the driveway is expressed as
length,l × width,w
The area is 672 feet squared. It means that
L×W = 672
The length of the rectangular driveway is four feet less than five times the width. It means that
L = 5W - 4
Substituting L = 5W - 4 into LW = 672
W(5W - 4) = 672
5W^2 - 4W - 672 = 0
5W^2 + 56W - 60W - 672 = 0
W(5W + 56) - 12(5W + 56) = 0
(W - 12)(5W + 56) = 0
W - 12 = 0 or 5W + 56 = 0
W = 12 or 5W = -56
W= 12 or W = - 56/5
The Width cannot be negative , so
W = 12
LW = 672
12L = 672
L = 672/12 = 56
