The equation is simplified as [tex]x^{16}=x^{16}[/tex].
The given equation is [tex]x^{12} . \ x^{4} = x^{8} . \ x^{8}[/tex].
We need to simplify and explain the equation.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Use the exponent rule [tex]a^m . \ a^n=a^{m+n}[/tex] to simplify the given equation.
Now, [tex]x^{12} . \ x^{4} = x^{8} . \ x^{8}[/tex]
⇒ [tex]x^{12+4}=x^{8+8}[/tex]
⇒ [tex]x^{16}=x^{16}[/tex]
The exponents of both the sides of equation are the same.
Therefore, the equation is simplified as [tex]x^{16}=x^{16}[/tex].
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