((50x^(6))/(2x^(3)))^(2)

Simplify Fraction and Exponents: Simplify the fraction inside the parentheses by dividing coefficients and subtracting exponents. Calculation: (50/2)x^(6-3) = 25x^3.Apply Power of 2: Apply the power of 2 to the simplified expression. Calculation: (25x^3)^2 = 25^2 * (x^3)^2.Calculate Squares: Calculate 25 squared and x^3 squared. Calculation: 25^2 = 625 and (x^3)^2 = x^(3*2) = x^6.

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$\left(\frac{50 x^{6}}{2 x^{3}}\right)^{2}$

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Precalculus

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\left(\frac{50 x^{6}}{2 x^{3}}\right)^{2}

Simplify Fraction and Exponents: Simplify the fraction inside the parentheses by dividing coefficients and subtracting exponents. $\newline$ Calculation: $(\frac{50}{2})x^{(6-3)} = 25x^3$ .
Apply Power of $2$ : Apply the power of $2$ to the simplified expression. $\newline$ Calculation: $(25x^3)^2 = 25^2 \times (x^3)^2$ .
Calculate Squares: Calculate $25$ squared and $x^3$ squared. $\newline$ Calculation: $25^2 = 625$ and $(x^3)^2 = x^{(3*2)} = x^6$ .