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]