Answer:
16*(a^12)*(b^16)
Step-by-step explanation:
In order to solve this problem, we can split these term into three separate terms.
[tex]{(2 {a}^{3} {b}^{4})}^{4} = {2}^{4} \times {( {a}^{3}) }^{4} \times {( {b}^{4} )}^{4} [/tex]
2 to the power of 4 is 16.
[tex] {2}^{4} = 16[/tex]
As for the terms a and b, the two exponents can multiply with each other.
[tex] {( {a}^{3} )}^{4} = {a}^{(3 \times 4)} = {a}^{12} [/tex]
[tex] {( {b}^{4} )}^{4} = {b}^{(4 \times 4)} = {b}^{16} [/tex]
Now, we can directly multiply the values together by combining into one term.
Hence, the final answer is
[tex]16 {a}^{12} {b}^{16} [/tex]
