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
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.
Evaluate 43 . What is the value of this expression?(1 point)
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.
Which of these expressions is equal to 243?(1 point)
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.
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