Question

¿qué expresión es equivalente a 2(8n)⁴?
2·8n·8n·8n·8n (2·8n)(2·8n)(2·8n)(2·8n)
2·8·n·n·n·n 2·8·4

Explanation:

Step1: Recall exponent definition

An expression of the form \(a^b\) means \(a\) multiplied by itself \(b\) times. So, \((8n)^4 = 8n \cdot 8n \cdot 8n \cdot 8n\).

Step2: Multiply by the coefficient

Now, the original expression is \(2(8n)^4\), which means we multiply the result from Step 1 by 2. So, \(2(8n)^4 = 2 \cdot 8n \cdot 8n \cdot 8n \cdot 8n\).

Answer:

\(2 \cdot 8n \cdot 8n \cdot 8n \cdot 8n\) (the first option in the top - left box)