Respuesta :

Answer:

The simplified expression in the exponential form will be: [tex]3x^8y^4[/tex]

Step-by-step explanation:

Given the expression

[tex]3x^4\times \:y^4x^4[/tex]

simplifying the expression and writing the answer in exponential form

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]

[tex]x^4x^4=x^{4+4}[/tex]

so the expression becomes

[tex]3x^4\times \:y^4x^4=3x^{4+4}y^4[/tex]

                    [tex]=3x^8y^4[/tex]           ∵ [tex]\mathrm{Add\:the\:numbers:}\:4+4=8[/tex]

Therefore, the simplified expression in the exponential form will be: [tex]3x^8y^4[/tex]