Please help me with the following:

Which of the following statements most accurately describes the difference between 3x^0 and (3x)^0, if a difference exists?

A. There is no mathematical difference between 3x^0 and (3x)^0. The two are equivalent expressions.

B. In the expression 3x^0, the exponent 0 is applied only to the variable x, while in (3x)^0, the exponent 0 is applied only to the coefficient 3.

C. In the expression (3x)^0, the exponent is applied only to the variable x, while in 3x^0, the exponent 0 is applied to both the variable x and the coefficient 3.

D. In the expression 3x^0, the exponent 0 is applied only to the variable x, while in (3x)^0, the exponent 0 is applied to both the variable x and the coefficient 3.

I know the answer is not C, but I think the answer is either A or D. Can someone please check?

Please help me by checking. Any help will be greatly appreciated! :)

P.S. Please reply as soon as possible! Thank you, and there may be a few more.

3 answers

D is correct.

In A, 3x^0 = 3*1 = 3, while (3x)^0 = 1
(assuming x is not zero)

Thank you Steve!

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