Question

Simplify. (fg^2 )^4

Answer 1

Hello! :)

Answer:

`\boxed{f^4 g^8}`

Explanation:

Distributive property: a(b+c)=ab+ac

First, you multiply by exponent from left/right.

`2*4=8`

`2*2=4`

Final answer is →
`\boxed{f^4 g^8}`

Hope this helps you!

Have a nice day! :)

-Charlie

Thank you!

Answer 2

Answer: The required simplified form of the given expression is
`f^4g^8.`

Step-by-step explanation: We are given to simplify the following expression :

`E=(fg^2)^4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following properties of exponents :

`(i)~(ab)^c=a^cb^c,\\\\(ii)~(a^b)^c=a^(bc).`

So, from (i), we get

`E\\\\=(fg^2)^4\\\\=f^4(g^2)^4\\\\=f^4g^(2*4)\\\\=f^4g^8.`

Thus, the required simplified form is
`f^4g^8.`