The sum of the numerator and the denominator of a fraction is 216. The fraction is equivalent to $\frac{2}{7}$. What is the value of the denominator?

168

Step-by-step explanation:

The fraction is 48/168.

48 + 168 = 216

48/168 = 2/7

The value of the denominator is 168.

We can solve simultaneous equations to get the x and y coordinates.

x + y = 216

x/y = 2/7

x = 48

y = 168

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: