Equivalent expressions are expressions with equal value.
The equivalent expression of [tex]\mathbf{2\cdot(8n)^4}[/tex] is [tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]
The expression is given as:
[tex]\mathbf{2\cdot(8n)^4}[/tex]
Apply law of indices
[tex]\mathbf{2\cdot(8n)^4 = 2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]
The above equation means that:
[tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex] is equivalent to [tex]\mathbf{2\cdot(8n)^4}[/tex]
Hence, the correct option is (d) [tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/24242989
