Respuesta :

Answer:

The answers is [tex]29.47 a^8[/tex]

Step-by-step explanation:

Given

[tex](2 \frac{1}{3} a^2)^4[/tex]

Step 1: converting the mixed fraction to fraction

Multiply 3 and 2 and then add 1 to the resulting value

=>[tex](\frac{6+1}{3} a^2)^4[/tex]

=> [tex](\frac{7}{3} a^2)^4[/tex]

Step 2: Converting the fraction to decimal

Dividing 7 by 3 we get, 2.33

=>([tex]2.33 a^2)^4[/tex]

Step 3: Finding the Power values

We know that [tex](a^m)^n = (a)^{m.n}[/tex]

=>[tex]2.33^4 (a^2)^4[/tex]

=>[tex]29.47 a^8[/tex]