4^x^2-5x+0.25=sqrt of 2?

I assume there are missing parentheses, which is really not unusual for people posting math questions. Why do so many people who struggle with these math problems also struggle with the use of parentheses????

4^(x²−5x+0.25) = √2

(2^2)^(x²−5x+0.25) = 2^(1/2)

2^(2(x²−5x+0.25)) = 2^(1/2)

2(x²−5x+0.25) = 1/2

x² − 5x + 0.25 = 1/4

x² − 5x = 0

x (x − 5) = 0

x = 0 or 5

4^x^2 -5x +0.25 = sqrt of 2

Looking at this immediately makes me question the 4^x^2 term.

Did you mean (4^x)^2 ??

or is it 4^(x^2) ?? <<<< Wolfram understanding

or did you mean to type 4x² ?

Please do an update so we can work it correctly.

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I understand it to be 4^x²

Is it 4x^2 ?

or

4^(x^2-5x+0.25) ?

4^(x^2-5x+0.25)

Presentation is unacceptable.

Brackets are requires

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