(-3/-7)^-5*(7/3)^2

asked by guest
on Apr 07, 2025 at 5:10 am



You asked:

Evaluate the expression: (−3−7)−5(73)2{\left( \frac{-3}{-7} \right)}^{-5} {\left( \frac{7}{3} \right)}^{2}

MathBot Answer:

(−3−7)−5(73)2=8235432187≈376.56287151348879743941472336534065{\left( \frac{-3}{-7} \right)}^{-5} {\left( \frac{7}{3} \right)}^{2} = \frac{823543}{2187} \approx 376.56287151348879743941472336534065

(−3−7)−5(73)2=(37)−5(73)2=16807243(73)2=16807243⋅499=8235432187\begin{aligned}{\left( \frac{-3}{-7} \right)}^{-5} {\left( \frac{7}{3} \right)}^{2}&={\left( \frac{3}{7} \right)}^{-5} {\left( \frac{7}{3} \right)}^{2}\\&=\frac{16807}{243} {\left( \frac{7}{3} \right)}^{2}\\&=\frac{16807}{243} \cdot \frac{49}{9}\\&=\frac{823543}{2187}\end{aligned}

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