Question

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

Answer 1

$\cfrac{(4g^3h^2k^4)^3}{8g^3h^2}-(h^5k^3)^5= \cfrac{64g^9h^6k^{12}}{8g^3h^2}-h^{25}k^{15}= 8g^6h^4k^{12}-h^{25}k^{15}$

Answer 2

Given expression:$\frac{\left(4g^3h^2k^4\right)^3}{8g^3h^2}-\left(h^5k^3\right)^5$

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

$8:\quad 2^3$

$\frac{\left(4g^3h^2k^4\right)^3}{8g^3h^2}=\frac{2^6g^9h^6k^{12}}{2^3g^3h^2}$

$=2^3g^6h^4k^{12}$

$\left(h^5k^3\right)^5=h^{25}k^{15}$

$\frac{\left(4g^3h^2k^4\right)^3}{8g^3h^2}-\left(h^5k^3\right)^5=2^3g^6h^4k^{12}-h^{25}k^{15}$

$=8g^6h^4k^{12}-h^{25}k^{15}$

Therefore, correct option is 4th option $8g^6h^4k^{12}-h^{25}k^{15}$.