(6/3) ^3*(5/9) ^3=

asked by guest
on Jan 15, 2025 at 8:22 am



You asked:

Evaluate the expression: \({\left( \frac{6}{3} \right)}^{3} {\left( \frac{5}{9} \right)}^{3}\)

MathBot Answer:

\[{\left( \frac{6}{3} \right)}^{3} {\left( \frac{5}{9} \right)}^{3} = \frac{1000}{729} = 1.\overline{371742112482853223593964334705075445816186556927297668038408779149519890260631001}\]

\[\begin{aligned}{\left( \frac{6}{3} \right)}^{3} {\left( \frac{5}{9} \right)}^{3}& = \left(\frac{6}{3}\right)^{3} \cdot \left(\frac{5}{9}\right)^{3}\\& = 8 \cdot \left(\frac{5}{9}\right)^{3}\\& = 8 \cdot \frac{125}{729}\\& = \frac{1000}{729}\end{aligned}\]

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