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Evaluate. Write your answers as fractions. (-3)/(2)= square (-(1)/(3))^3= square

Pergunta

Evaluate. Write your answers as fractions.
(-3)/(2)= square 
(-(1)/(3))^3= square

Evaluate. Write your answers as fractions. (-3)/(2)= square (-(1)/(3))^3= square

Solução

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LucianoElite · Tutor por 8 anos

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To evaluate the given expressions, we need to perform the calculations step by step.<br /><br />1. $\frac{-3}{2}$<br /><br />This is a simple fraction representing a negative number. It is already in its simplest form, so the answer is:<br /><br />$\frac{-3}{2}$<br /><br />2. $(-\frac{1}{3})^{3}$<br /><br />To evaluate this expression, we need to raise the fraction to the power of 3. When raising a fraction to a power, we raise both the numerator and the denominator to that power.<br /><br />$(-\frac{1}{3})^{3} = (-1)^{3} \cdot (\frac{1}{3})^{3}$<br /><br />Simplifying this expression, we get:<br /><br />$(-1)^{3} = -1$<br /><br />$(\frac{1}{3})^{3} = \frac{1}{27}$<br /><br />Therefore, $(-\frac{1}{3})^{3} = -\frac{1}{27}$<br /><br />So, the answers are:<br /><br />$\frac{-3}{2}$<br /><br />$(-\frac{1}{3})^{3} = -\frac{1}{27}$
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