Respuesta :

CharlieBrown2002

Hello! :)

Answer:

[tex]\boxed{f^4 g^8}[/tex]

Step-by-step explanation:

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

First, you multiply by exponent from left/right.

[tex]2*4=8[/tex]

[tex]2*2=4[/tex]

Final answer is → [tex]\boxed{f^4 g^8}[/tex]

Hope this helps you!

Have a nice day! :)

-Charlie

Thank you!

Answer:  The required simplified form of the given expression is [tex]f^4g^8.[/tex]

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

[tex]E=(fg^2)^4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following properties of exponents :

[tex](i)~(ab)^c=a^cb^c,\\\\(ii)~(a^b)^c=a^{bc}.[/tex]

So, from (i), we get

[tex]E\\\\=(fg^2)^4\\\\=f^4(g^2)^4\\\\=f^4g^{2\times4}\\\\=f^4g^8.[/tex]

Thus, the required simplified form is [tex]f^4g^8.[/tex]

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