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]