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Perimeter : 103.5 cm

Step-by-step explanation:

12.5 will be the length for both sides of the quadrant (it's the radius) so 12.5*2 = 25

Now we have to find the length of the curve.

We can take the circumference of the circle and divide it by 4 (this is a quadrant, 1/4 of the circle)

Circumference of a circle equation; 2π r

In this equation 12.5 is the radius and we will use 3.14 as pi

12.5 * 2 * 3.14 = 78.5

25 + 78.5 = 103.5

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: