Angel's dad bought a television for her for completing all of her digital learning day lessons. He wants to wrap the gift. The box measures 56 inches by 8 inches by 36 inches. Wrapping paper is sold in rectangles that measure 26 inches by 17 inches. How many sheets of wrapping paper will Angel's dad need to purchase?

The answer to your question is 13 sheets.

Step-by-step explanation:

Data

Dimensions of the TV              Dimensions wrapping paper

56 in x 8 in x 36 in                    26 in x 17 in

Process

1.- Calculate the total area of the TV

Area 1 = 56 x 8 x 2 = 896 in²

Area 2 = 36 x 8 x 2 = 576 in²

Area 3 = 56 x 36 x 2 = 4032 in²

Total area = 5504 in²

2.- Calculate the area of the wrapping paper

Area 4 = 26 x 17 = 442 in²

3.- Divide the area of the TV by the area of the wrapping paper

Number of sheets = 5504 / 442

                              = 12.5 ≈ 13 sheets of wrapping paper

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: