Paving 6.
A road 2 m broad surrounds a square park 4225 m² in area. Find the cost of
marbles each of 25 cm by 8 cm in size on the road at Rs 50 per piece of marble.

Given :

A road 2 m broad surrounds a square park 4225 m² in area.

Size of marble is 25 cm by 8 cm.

Price of each marble is Rs 50.

To Find :

Total cost.

Solution :

Side of square road is :

Area of road =

Number of marbles required is :

It is given that price per marble is Rs 50.

So, total price required is :

Hence, this is the required solution.

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: