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Real Numbers
Exponents and signed fractions
Evaluate. Write your answers as fractio

{:[(-(4)/(3))^(3)=◻],[(-5)/(3^(2))=◻]:}

Real Numbers\newlineExponents and signed fractions\newlineEvaluate. Write your answers as fractio\newline(43)3=532= \begin{aligned} \left(-\frac{4}{3}\right)^{3} & =\square \\ \frac{-5}{3^{2}} & =\square \end{aligned}

Full solution

Q. Real Numbers\newlineExponents and signed fractions\newlineEvaluate. Write your answers as fractio\newline(43)3=532= \begin{aligned} \left(-\frac{4}{3}\right)^{3} & =\square \\ \frac{-5}{3^{2}} & =\square \end{aligned}
  1. Calculate (43)3(-\frac{4}{3})^3: We need to calculate (43)3(-\frac{4}{3})^3 first.\newline(-\frac{4}{3})^3 = (-4)^3 / (3)^3\(\newline= -\frac{64}{27}\)
  2. Find value of (5)/(32)(-5)/(3^2): Now let's find the value of (5)/(32)(-5)/(3^2).\newline(5)/(32)=(5)/9(-5)/(3^2) = (-5) / 9

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