Flipping through a magazine, hiccup sees an advertisement for toothless toothpaste. the ad says that it is recommended by 4 out of 7 dragons dentists. toothless if 1,500 dragon dentists were surveyed, about how many would recommend toothless toothpaste? explain your reasoning!

375

Step-by-step explanation:

So first you would want to divide 1,500 by 4 because the ratio is 4:7. The answer you get if you divide 1,500 by 4 is 375. This is your answer because if you divide 1,500 by 4 you are seeing out of how many 'dentist' would recomend this product.

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: