Answer:
O (g^15)/(8h^6)
Explanation:
The correct way to write this expression in mathematical form is:
((2g^5)^3)/((4h^2)^3)
To simplify this expression, we can first apply the exponent rules.
(2g^5)^3 = 2^3 * (g^5)^3 = 8g^15
Similarly, (4h^2)^3
= 4^3 * (h^2)^3
= 64h^6
Now, we can substitute these values back into the original expression:
((2g^5)^3)/((4h^2)^3)
= (8g^15)/(64h^6)
To simplify this further, we can divide both the numerator and denominator by the common factor of 8:
(8g^15)/(64h^6)
= (g^15)/(8h^6)
Therefore, the final simplified expression is:
(g^15)/(8h^6)