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\left(\frac{5^{2}x^{2}}{x}\right)^{2}
Expand \left(5x\right)^{2}.
\left(\frac{25x^{2}}{x}\right)^{2}
Calculate 5 to the power of 2 and get 25.
\left(25x\right)^{2}
Cancel out x in both numerator and denominator.
25^{2}x^{2}
Expand \left(25x\right)^{2}.
625x^{2}
Calculate 25 to the power of 2 and get 625.
\left(\frac{5^{2}x^{2}}{x}\right)^{2}
Expand \left(5x\right)^{2}.
\left(\frac{25x^{2}}{x}\right)^{2}
Calculate 5 to the power of 2 and get 25.
\left(25x\right)^{2}
Cancel out x in both numerator and denominator.
25^{2}x^{2}
Expand \left(25x\right)^{2}.
625x^{2}
Calculate 25 to the power of 2 and get 625.