13 was subtracted form a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number?

the number is 8

Step-by-step explanation:

Step 1

Let x be the number  13 was subtracted from so  that the difference becomes x-13

i.  dividing  the resulting difference by 5, then  (x-13)/5

ii.  Multiplying  the quotient by 7 makes  the expression become (x-13)/5 x 7

 with the product coming  to -7  we have our final equation as

(x-13)/5 x 7 = -7

Step 2 solving  the equation

(x-13)/5 x 7 = -7

Ist  divide  both sides by 7,

(x-13)/5 =-1

cross multiplying gives

x-13=-5

x= -5+ 13

x=8

the number is 8

what the question so we can you out

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: