Question

Which expression is equivalent to (4g^3h^2k^4)^3/8g^3h^2 - (h^5k^3)^5

Answer 1

ANSWER IS D
Explanation:

Answer 2

Given expression:
`(\left(4g^3h^2k^4\right)^3)/(8g^3h^2)-\left(h^5k^3\right)^5`

`\left(4g^3h^2k^4\right)^3:\quad 2^6g^9h^6k^(12)`

`8:\quad 2^3`

`(\left(4g^3h^2k^4\right)^3)/(8g^3h^2)=(2^6g^9h^6k^(12))/(2^3g^3h^2)`

`=2^3g^6h^4k^(12)`

`\left(h^5k^3\right)^5=h^(25)k^(15)`

`(\left(4g^3h^2k^4\right)^3)/(8g^3h^2)-\left(h^5k^3\right)^5=2^3g^6h^4k^(12)-h^(25)k^(15)`

`=8g^6h^4k^(12)-h^(25)k^(15)`

Therefore, correct option is 4th option
`8g^6h^4k^(12)-h^(25)k^(15)`.