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Tcecarenko [31]
3 years ago
10

What is the value of the expression

Mathematics
2 answers:
Stels [109]3 years ago
5 0

(-\dfrac{3^2}{3^3} )^2 = (-\dfrac{1}{3} )^2 = \dfrac{1}{9}


OR (in more details):


(-\dfrac{3^2}{3^3} )^2 = (-3^{2-3})^2 = (-3^{-1})^2 = (-\dfrac{1}{3} )^2 = \dfrac{1}{9}


MrMuchimi3 years ago
3 0

So either you meant (\frac{-3^2}{-3^3} )*\frac{2}{1}, or you actually meant (\frac{-3^2}{-3^3} )^2 . I'll solve both.



(\frac{-3^2}{-3^3} )*\frac{2}{1}


Firstly, do the division. Since the numerator and the denominator have the same base, you can write it as -3^-1, which can be rewritten as -1/3. -\frac{1}{3}*\frac{2}{1}


Next, multiply the fractions, and your answer should be -\frac{2}{3}



(\frac{-3^2}{-3^3} )^2


Firstly, multiply square with the powers in the fraction to get \frac{-3^4}{-3^6}


Next, divide. Like before, they have the same base, so the answer can be written as -3^-2, which can be rewritten as 1/3^2 = 1/9.

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