What is the expression in radical form?

(4x^3y^2)^3/10

enter your answer, in simplest form, in the box.

32x^9y^6/5

Step-by-step explanation:

Factor (4x^3y^2)^3 and get 2^6(x^3)^3(y^2)^3

Factor 10: 2 x 5

Then get 2^6(x^3)^3(y^2)^3/2 x 5

Cancel the common factor, 2

2^5(x^3)^3(y^2)^3/5

(x^3)^3=x^9

2^5x^9(y^2)^3/5

(y^2)^3=y^6

2^5x^9y^6/5

2^5=32

32x^9y^6/5

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

step-by-step explanation:

x-intercept:

(

−

1

+

√

7

,

0

)

,

(

−

1

−

√

7

,

0

)

y-intercept:

(

0

,

−

6

)