Choose the correct simplification of (2xy2)2(y2)3.

a. 2x2y10
b. 4x2y9
c. 4x2y10
d. 2x2y9

C.4x^2y^10

Step-by-step explanation:

Given: (2xy^2)^2 .(y^2)^3

Use the exponent power of power rule : (a^n)^m = a^(mn)

(2xy^2)^2 .(y^2)^3 = (2^2. x^2.y^4).y^6

= 4x^2.y^4.y^6

Use the exponent base rule: a^m. a^n = a^(m + n)]

= 4.x^2.y^(4 + 6)

= 4x^2.y^10

Answer is C.4x^2y^10

Hope this helpful.

Thank you.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

(-5,-28)

i graphed to on desmos.