Question

Simplify the expression:

(a^2b^5c^3)^4(a^3b^3)^3(a^2c)^2

a. a^13b^19c^13
b. a^21b^24c^10
c. 6(a^8b^12c^4)
d. a^21b^29c^14

Answer 1

its e

Answer 2

Simplify the following:
(a^2 b^5 c^3)^4 (a^3 b^3)^3 (a^2 c)^2

Multiply each exponent in a^2 c by 2:
(a^2 b^5 c^3)^4 (a^3 b^3)^3 a^(2×2) c^2
2×2 = 4:
(a^2 b^5 c^3)^4 (a^3 b^3)^3 a^4 c^2

Multiply each exponent in a^3 b^3 by 3:
(a^2 b^5 c^3)^4 a^(3×3) b^(3×3) a^4 c^2
3×3 = 9:
(a^2 b^5 c^3)^4 a^(3×3) b^9 a^4 c^2
3×3 = 9:
(a^2 b^5 c^3)^4 a^9 b^9 a^4 c^2

Multiply each exponent in a^2 b^5 c^3 by 4:
a^(4×2) b^(4×5) c^(4×3) a^9 b^9 a^4 c^2
4×3 = 12:
a^(4×2) b^(4×5) c^12 a^9 b^9 a^4 c^2
4×5 = 20:
a^(4×2) b^20 c^12 a^9 b^9 a^4 c^2
4×2 = 8:
a^8 b^20 c^12 a^9 b^9 a^4 c^2
a^8 b^20 c^12 a^9 b^9 a^4 c^2 = a^(8+9+4) b^(20+9) c^(12+2):
a^(8+9+4) b^(20+9) c^(12+2)
12+2 = 14:
a^(8+9+4) b^(20+9) c^14
20+9 = 29:
a^(8+9+4) b^29 c^14
8+9+4 = 21

Answer: a^21 b^29 c^14

Answer 3

wow, thanks :)
That was long