Question

Simplify. (fg^2 )^4

Answer 1

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

$E\\\\=(fg^2)^4\\\\=f^4(g^2)^4\\\\=f^4g^{2\times4}\\\\=f^4g^8.$

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

Answer 2

Hello! :)

Answer:

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

Step-by-step 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!