Simplify. Express your answer using positive exponents. 2w⁶ 2w²

To simplify the expression ( frac{2w^6}{2w^2} ), follow these steps:

1. Divide the coefficients: The coefficients 2 and 2 cancel each other out (2/2 = 1).

2. Apply the properties of exponents: Use the rule ( frac{a^m}{a^n} = a^{m-n} ) for the variable part:

[

w^{6-2} = w^4

]

Therefore, the simplified expression is ( w^4 ).

Remember to express your final answer using positive exponents. Here, ( w^4 ) already meets that requirement.

So, the final answer is:

[

w^4

]

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