The sum of a two digit number is 5 if u reverse the digits the difference of the original number minus the new number is 9 what is the original number

32

Step-by-step explanation:

The easiest way to do this is to guess and check.

Since they have to add to five, the two numbers have to be 1,4; 2,3; or 5,0

The original number has to be bigger than the new number, so the bigger digit has to be first. That’s got your options down to 41, 32, or 50. Now is where you check.

41-14=27

32-23=9

That seems like our answer, but check the other just to be sure.

50-05=45

Now we know the original number was 32.

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: