Question

Simplify the following expression.

12a376c5
3a284c5
O A 4a6²c
OB.
9a62
OC. 4a62
OD. 9ab2cC

Answer 1

`(12a^3b^6c^5)/(3a^2b^4c^5)=4ab^(2)`

Explanation:

Given

`(12a^3b^6c^5)/(3a^2b^4c^5)`

Required

Simplify

`(12a^3b^6c^5)/(3a^2b^4c^5)`

To solve this, we apply the following law of indices:

`(m^x)/(m^y) = m^(x-y)`

`(12a^3b^6c^5)/(3a^2b^4c^5)` becomes

`(12)/(3)a^(3-2)b^(6-4)c^(5-5)`

`(12)/(3)a^(1)b^(2)c^(0)`

`c^0 = 1`; So, we have

`(12)/(3)a^(1)b^(2)*1`

Finally,

`4ab^(2)`

Hence:

`(12a^3b^6c^5)/(3a^2b^4c^5)=4ab^(2)`