What is 2^3/2 equal to?
Too many math questions get posted around here without parentheses, that desperately need to have them. A couple of other answerers here have already pointed out the ambiguity in what you wrote. You can make it clear using the additional details feature. OK, that said, it looks like you meant 2^(5/2) - 2^(3/2), because (2^5)/2 - (2^3)/2 would be so much easier. But please, in the future, practice safe math -- use parentheses! Using the rule: a^(b+c) = (a^b)(a^c), 2^(5/2) - 2^(3/2) = 2^(1 + 3/2) - 2^(3/2) = 2^(3/2) (2 - 1) = 2^(3/2) = 2^(1 + 1/2) = 2 * 2^(1/2) = 2√2
4
google it
2^3 --- 2 or 2^3 / 2 ?
\(\bf \cfrac{2^3}{2}?\)
it is 4
That's not one of the answer choices
Let me post the answer choices, give me a second
You didn't say if it is \(\normalsize\color{blue}{ 2^{3/2}}\) or \(\normalsize\color{blue}{ 2^{3}/2}\)
\(\Large a^{\frac{{\color{blue} n}}{{\color{red} m}}} = \sqrt[{\color{red} m}]{a^{\color{blue} n}} \qquad \qquad \sqrt[{\color{red} m}]{a^{\color{blue} n}}=a^{\frac{{\color{blue} n}}{{\color{red} m}}}\)
It is 2^(3/2)
then use the formula jdoe0001 posted
It's not one of the answers
2^(3/2) = ²√ 2³ = √8
Still not one of the choices ?
It would be 2 to the square root of 8?
\[2\sqrt{8} ?\]
It is \(\normalsize\color{black}{ \sqrt[2]{8}}\), which is the exact same thing as \(\normalsize\color{black}{ \sqrt{8}}\)
Okay, thanks for showing me how to do it in the process :D
You never fail to disappoint
Wait
Did I say that wrong
You never fail to solve the question!
you said, \(\normalsize\color{black}{ 2\sqrt{8}}\) and it is not that, it is \(\normalsize\color{black}{ \sqrt[2]{8}}\)
it is not \(\normalsize\color{black}{ 2\times\sqrt{8}}\), just \(\normalsize\color{black}{ \sqrt{8}}\)
its d
no
I gave you the answer, didn't I ?
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