Question

Which expression is equivalent to (a^2b^4c)^2(6a^3b)(2c^5)^3/4a^6b^12c^3

1) 3ac^7/b^5

2) 9ac^14/b^3

3) 12ac^14/b^3

4) 9ac^7/b^5​

Answer 1

C

Explanation:

First of all we can simplify the the first therm because a property of power says that we can simplify a power of power by multiply the exponents

a^4b^8c^2

For the same property 2c^5 becomes 8c^15

now we have

(a^4b^8c^2)(6a^3b)(8c^15)/4a^6b^12c^3

if we simplify the numbers we can obtain

(a^4b^8c^2)(6a^3b)(2c^15)/a^6b^12c^3

If we simplify the parameters we can obtain

12ac^14/b^3

Answer 2

its c

Explanation: