29 points using the gcf you found in part b, rewrite 56 + 96 as two factors. one factor is the gcf and the other is the sum of two numbers that do not have a common factor. show your work.

Write both numbers as a product of prime numbers:

Then GCF(56,96)=2³=8.

Now you can rewrite the sum 56+96 as following two factors:

56+96=8·7+8·12=8·(7+12)=8·19 (here the first factor os GCF and the secomd factor is  the sum of two numbers 7 and 12 that do not have a common factor).

56+96=8·19.

Write both numbers as a product of prime numbers:

   56=2³·7;

   96=2³·2²·3.

Then GCF(56,96)=2³=8.

Now you can rewrite the sum 56+96 as following two factors:

56+96=8·7+8·12=8·(7+12)=8·19 (here the first factor os GCF and the secomd factor is  the sum of two numbers 7 and 12 that do not have a common factor).

56+96=8·19.

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Step-by-step explanation:

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: