Write 4×4×4 using exponents.(1 point)
Responses
44
4 superscript 4 baseline
43
4 cubed
33
3 cubed
34
7 answers
4 to the power of 4
A painter is going to paint a room shaped like a cube, with square walls that are 20 ft. on each side. A gallon of paint can be used to cover 400 square feet. How many gallons of paint should the painter buy if he is going to paint the four walls of the room?(1 point)
Responses
6 gallons
6 gallons
4 gallons
4 gallons
5 gallons
5 gallons
1 gallon
Responses
6 gallons
6 gallons
4 gallons
4 gallons
5 gallons
5 gallons
1 gallon
The total surface area of the four walls of the room can be calculated by finding the area of one wall and multiplying it by 4 (since there are four walls in a room).
Area of one wall = side length * side length = 20 ft * 20 ft = 400 square feet
Total surface area of the four walls = 400 sq ft * 4 = 1600 sq ft
Since a gallon of paint can cover 400 square feet, the painter would need 1600 sq ft / 400 sq ft = 4 gallons of paint to cover the four walls of the room.
Therefore, the painter should buy 4 gallons of paint.
Area of one wall = side length * side length = 20 ft * 20 ft = 400 square feet
Total surface area of the four walls = 400 sq ft * 4 = 1600 sq ft
Since a gallon of paint can cover 400 square feet, the painter would need 1600 sq ft / 400 sq ft = 4 gallons of paint to cover the four walls of the room.
Therefore, the painter should buy 4 gallons of paint.
Evaluate 43 . What is the value of this expression?(1 point)
Responses
12
12
81
81
64
64
7
Responses
12
12
81
81
64
64
7
4 cubed equals 4 * 4 * 4 = 64
Therefore, the value of the expression 4^3 is 64.
Therefore, the value of the expression 4^3 is 64.
Which of these expressions is equal to 243?(1 point)
Responses
35
3 superscript 5 baseline
53
5 cubed
73
7 cubed
37
Responses
35
3 superscript 5 baseline
53
5 cubed
73
7 cubed
37
5 cubed is equal to 5^3 which equals 5 * 5 * 5 = 125; not 243.
Therefore, the correct expression that is equal to 243 is 3^5, which is 3 * 3 * 3 * 3 * 3 = 243.
Therefore, the correct expression that is equal to 243 is 3^5, which is 3 * 3 * 3 * 3 * 3 = 243.