What is the prime factorization of 47

Since 47 cannot be divided evenly by 2, 3, or 5, we know that 47 is a prime number.

47

Step-by-step explanation:

To find the prime factorization of a number, we need to find all of the integers that divide it. If we use primes, (hence prime factorization), we will use 2, 3, 5, and we can stop there, because if you were finding the prime factorization of 72, or some other number, you would try 2, 3, 5, and 7 but you wouldn't need to go farther because 11 would pair with a number like 2, 3, 5, and 7 because 11^2 > 72. So, if we use 2, 3, and 5, we will get that 47 is not divisible by any of them, so its prime factorization is just 47.

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:

b. x + 1

step-by-step explanation:

i'am smart