£140 is divided between Angad, Nick & June so that Angad gets twice as much as Nick, and Nick gets three times as much as June. How much does Angad get?

  £84

Step-by-step explanation:

The given ratios are ...

  A : N = 2 : 1

  N : J = 3 : 1

Putting these together, we have ...

  A : N : J = 6 : 3 : 1

There are a total of 6+3+1 = 10 ratio units, so each is worth £140/10 = £14.

Angad's share is 6×£14 = £84.

Check

Nick gets £42, and June gets £14. Together, they share £84 +42 +14 = £140.

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: