Answer:
a = 10/3
Step-by-step explanation:
This can be written as:
[tex]x^{2} (x^{4})^{1/3} = x^{a}[/tex]
Anything to the power of 1/3 means to find the cube root. We can simplify this to:
[tex]x^{2} (x^{4/3}) = x^{a}[/tex]
I just multiplied 4 and 1/3 (because of the second index law [tex](a^{m})^{n} = a^{mn}[/tex]). Now, we can add the powers because the bases are the same and we are multiplying (first index law):
[tex]x^{10/3} = x^{a}[/tex]
a = 10/3
Hope this helps!
