Respuesta :
According to given -
[tex]\frac{2^{x} }{3}[/tex]
Now,
Let us multiply and divide by 2 on both numerator and denominator -
⇒ [tex]\frac{2^{x} * 2 }{3 * 2}[/tex]
⇒ [tex]\frac{2^{x +1} }{3 * 2}[/tex]
⇒ [tex]\frac{2^{x+1} }{6}[/tex]
⇒ [tex]\frac{2^{x} }{6}[/tex] where, x=x+1 for x∈[tex]Z^{+}[/tex]
⇒ [tex]\frac{2^{x} }{6}[/tex]
Hence,
The correct option is 1)[tex]\frac{2^{x} }{6}[/tex].
What are equivalent equations ?
Equivalent equations are equations that have the same answer or solution. Linear equations are often compared to each other.
Here,
Multiplying or Dividing both sides of an equation by the same non-zero number produces an equivalent equation.
In this question we multiplied and divided both numerator and denominator by 2.
Learn more about equivalent equations at : https://brainly.com/question/14672772?referrer=searchResults
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Disclaimer : The correct question is given below.
Question :
Which of the following expression is equivalent to [tex]\frac{2^{x} }{3}[/tex] :
1) [tex]\frac{2^{x} }{6}[/tex]
2) [tex]\frac{2^{x} }{8}[/tex]
Answer:
8(2)x
Step-by-step explanation:
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