Answer:
[tex]6z^{4}[/tex]
Step-by-step explanation:
Given in the question an expression,
[tex]\frac{ (2z^5)(12z^3)}{4z^4}[/tex]
Step 1
Apply exponential "product rule"
[tex]x^{m}x^{n}=x^{m+n}[/tex]
[tex]\frac{ 12(2)z^5)(z^3)}{4z^4}[/tex]
[tex]\frac{ (24)z^5)(z^3)}{4z^4}[/tex]
[tex]\frac{ 24(z^{(5+3)})}{4z^4}[/tex]
[tex]\frac{ 24(z^{8})}{4z^4}[/tex]
Step 2
Apply exponential " divide rule"
[tex]\frac{x^{m}}{x^{n}}=x^{m-n}[/tex]
[tex]\frac{24/4(z^{8})}{z^4}[/tex]
[tex]\frac{6(z^{8})}{z^4}[/tex]
[tex]\frac{6(z^{8-4})}{1}[/tex]
[tex]6z^{4}[/tex]
