Step-by-step explanation:
You should study the exponential laws. Remember that (a/b) to the exponent of m is the same as a to the exponent of m over b to the exponent of m.
Therefore, 2 to the exponent of 5×4 over 3 to the exponent of 2×4 equals to 1048576/6561.
Answer:
144 carrots
Step-by-step explanation:
Let C stand for the number of carrots that a student can plant.
We are told that carrots may be planted at a density of 9 carrots/ft^2.
Let A be the area, in ft^2, that can be planted with carrots. The area of a rectangle is Base x Length (in feet).
We can therefore write:
C = (9 carrots/ft^2)*A
In the garden shown, the area is A = (4 ft) x (4 ft) = 16 ft^2
C = 9 carrots/ft^2)*(16 ft^2)
C = 144 carrots
Anything to a negative power makes it inverse and 1/2 power is just square root.
Therefore 49^-1/2 is 1 divided by the square root of 49. The square root of 49 is 7 so the answer is 1/7.
Answer:
h = -50
Step-by-step explanation:
- 3/10h = 15
Multiply each side by -10/3 to isolate h
-10/3 * - 3/10h = 15 * -10/3
h = -150/3
h = -50