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Simplifying the Expression: (12x2y−12)\left(\frac{12}{x^{2}y^{-\frac{1}{2}}}\right)

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Q. Simplifying the Expression: (12x2y−12)\left(\frac{12}{x^{2}y^{-\frac{1}{2}}}\right)
  1. Rewrite with positive exponents: Rewrite the expression with positive exponents.\newline(12x2y−12)=12x2×y12\left(\frac{12}{x^{2}y^{-\frac{1}{2}}}\right) = \frac{12}{x^{2}} \times y^{\frac{1}{2}}
  2. Simplify by keeping separate: Simplify the expression by keeping the coefficients and variables separate.\newline=12×x−2×y12= 12 \times x^{-2} \times y^{\frac{1}{2}}
  3. Write final simplified expression: Write the final simplified expression.\newline=12x2⋅y= \frac{12}{x^2} \cdot \sqrt{y}

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