simplification of the expression g to the power of 5 times h to the power of 4 all over g to the second power times h to the third power
The simplified expression is:
g^3 * h
Explanation:
We can simplify the expression by using the laws of exponents:
(g^5 * h^4) / (g^2 * h^3) = g^(5-2) * h^(4-3) = g^3 * h
To simplify the expression, we can apply the rule of exponents that states: when dividing two variables with the same base, subtract the exponents.
The expression can be simplified as follows:
(g^5 * h^4) / (g^2 * h^3)
Using the exponent rule, we subtract the exponents of g (5 - 2) and h (4 - 3):
g^(5 - 2) * h^(4 - 3)
= g^3 * h^1
= g^3h
Therefore, the simplified expression is g cubed times h.