Jazmin is completing an art project. she has two pieces of construction paper. the first piece is 44 cm wide and the second piece is 33 cm wide.
jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.
how wide should jazmin cut each strip?

11 cm Wide

Step-by-step explanation:

This problem is asking you to find the GCF (Greatest Common Factor) between the two numbers.

To find the GCF, you must

Factors of 44: 1, 2, 4, 11, 22, 44

Factor of 33: 1, 3, 11, 33

Common factors: 1 and 11

11 is greater than 1, so the GCF is 11. 11 cm is the widest possible length the strips can be for them to still be equal.

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:

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step-by-step explanation:

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