Fill in the blanks:
8,943 = ×20³+×20²+×20+×1

So in the blanks there will be 1 , 2, 7, 3

An the expression is      

Step-by-step explanation:

We have given the expression

We know that

When we multiply 8000 by 1 it will be 8000

We know that when we multiply 400 by 2

Then it will give 400×2 = 800

And 20×7 = 140

And 3×1 = 3

When we add all these numbers 8000+800+140+3 = 8943

So in the blanks there will be 1 , 2, 7, 3

An the expression is

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: