Answer:
[tex]256 {h}^{34}[/tex]
Step-by-step explanation:
We want to simplify:
[tex]{( - 2h)}^{4}(4 { ({h}^{3} )}^{5} )^{2} [/tex]
Recall that:
[tex] ({a}^{m} )^{n} = {a}^{mn} [/tex]
This means that:
[tex]{( - 2h)}^{4}(4 {( {h}^{3} )}^{5} )^{2} = 16 {h}^{4} \times 16 {h}^{30} [/tex]
We now apply the product rule of exponents:
[tex]{( - 2h)}^{4}(4 {( {h}^{3} )}^{5} )^{2} =256 {h}^{4 + 30}[/tex]
[tex]{( - 2h)}^{4}(4 {( {h}^{3} )}^{5} )^{2} =256 {h}^{34}[/tex]
