simplify: 3gh^2 x 4g^3h^3

Simplifying [tex]3gh^2 \times 4g^3h^3[/tex] to its simplest form is equal to [tex]12g^4h^5[/tex].
Given the following data:
To simplify the given mathematical expression in its simplest form:
Step 1: We would multiply the two integers (3 and 4) and variables.
[tex]3gh^2 \times 4g^3h^3\\\\12(g \times g^3 \times h^2\times h^3)[/tex]
Step 2: We would apply the law of indices (multiplication).
[tex]12(g^1 \times g^3 \times h^2\times h^3)\\\\12(g^{1 + 3} \times h^{2 + 3} )\\\\12g^4h^5[/tex]
[tex]3gh^2 \times 4g^3h^3 = 12g^4h^5[/tex]
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