Question

Help someone how do you solve this

Answer 1

Answer:

a = 10/3

Step-by-step explanation:

This can be written as:

$x^{2} (x^{4})^{1/3} = x^{a}$

Anything to the power of 1/3 means to find the cube root. We can simplify this to:

$x^{2} (x^{4/3}) = x^{a}$

I just multiplied 4 and 1/3 (because of the second index law $(a^{m})^{n} = a^{mn}$). Now, we can add the powers because the bases are the same and we are multiplying (first index law):

$x^{10/3} = x^{a}$

a = 10/3

Hope this helps!