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Let’s check out your problem:

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

(50x62x3)2 \left(\frac{50 x^{6}}{2 x^{3}}\right)^{2}

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Full solution

Q. (50x62x3)2 \left(\frac{50 x^{6}}{2 x^{3}}\right)^{2}
  1. Simplify Fraction and Exponents: Simplify the fraction inside the parentheses by dividing coefficients and subtracting exponents.\newlineCalculation: (502)x(6−3)=25x3(\frac{50}{2})x^{(6-3)} = 25x^3.
  2. Apply Power of 22: Apply the power of 22 to the simplified expression.\newlineCalculation: (25x3)2=252×(x3)2(25x^3)^2 = 25^2 \times (x^3)^2.
  3. Calculate Squares: Calculate 2525 squared and x3x^3 squared.\newlineCalculation: 252=62525^2 = 625 and (x3)2=x(3∗2)=x6(x^3)^2 = x^{(3*2)} = x^6.

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