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

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

electrofy456

16.01.2022

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

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cherishofomah04

11.05.2020

- 0.36

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

Hope it is helpful....

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