1.name the property of addition and/or multiplication that is illustrated

7 X (1+9) = (7 X 1) + (7 x 9)

2.Write 4 X 4 X 4 X 4 X 4 as a power of 4.

3. A plate glass window measures 5 ft by 7 ft. If glass costs $7 per square foot, how much will it cost to replace the window?

4. You are making posters 3 ft by 6 ft. How many square feet of material will you need for seven posters?

We do not do your homework for you, but I will give you a start.

1. Look this up in your textbook.

2. 4^0 (4 to the zero power)= 1
4^1 = 4
4^2 = 4*4 = 16
4^3 = 4*4*4 = 32
Continue on with this progression.

3. Calculate the area and multiply by $7.

4. Caclulate the area and multiply by 7.

I hope this helps. Thanks for asking.

1. The property of addition and/or multiplication that is illustrated in the equation is the distributive property. This property states that when multiplying a number by a sum, you can distribute the multiplication to each term inside the parentheses.

To get the answer, you can apply the distributive property by multiplying 7 by each term inside the parentheses:
7 X (1+9) = (7 X 1) + (7 X 9)
7 X 10 = 7 + 63
70 = 70

2. To write 4 X 4 X 4 X 4 X 4 as a power of 4, you can express it using exponents. The exponent represents the number of times the base is multiplied by itself.

4 X 4 X 4 X 4 X 4 can be expressed as 4^5, where 4 is the base and 5 is the exponent. This means you multiply 4 by itself 5 times:
4^5 = 4 X 4 X 4 X 4 X 4 = 1024

3. To calculate the cost of replacing the window, you need to find the area of the window and multiply it by the cost per square foot of glass.

The window measures 5 ft by 7 ft, so the area of the window is the product of these dimensions: 5 ft X 7 ft = 35 ft^2.

Given that the cost per square foot of glass is $7, you can multiply the area of the window by the cost per square foot:
35 ft^2 X $7/ft^2 = $245.

Therefore, it will cost $245 to replace the window.

4. To determine the amount of material needed for seven posters, you need to calculate the total area required.

Each poster measures 3 ft by 6 ft, so the area of one poster is the product of these dimensions: 3 ft X 6 ft = 18 ft^2.

To find the total area needed for seven posters, you can multiply the area of one poster by the number of posters:
18 ft^2 X 7 = 126 ft^2.

Therefore, you will need 126 square feet of material for seven posters.