Question

Raise to the power:
(2 1/3 a^2)^4

Answer 1

The answers is
`29.47 a^8`

Explanation:

Given

`(2 (1)/(3) a^2)^4`

Step 1: converting the mixed fraction to fraction

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

=>
`((6+1)/(3) a^2)^4`

=>
`((7)/(3) a^2)^4`

Step 2: Converting the fraction to decimal

Dividing 7 by 3 we get, 2.33

=>(
`2.33 a^2)^4`

Step 3: Finding the Power values

We know that
`(a^m)^n = (a)^(m.n)`

=>
`2.33^4 (a^2)^4`

=>
`29.47 a^8`