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Express the (2x^(-2))/(3x^(-3))

Express the\newline2x−23x−3 \frac{2 x^{-2}}{3 x^{-3}}

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Full solution

Q. Express the\newline2x−23x−3 \frac{2 x^{-2}}{3 x^{-3}}
  1. Rewrite with positive exponents: Rewrite the expression using positive exponents.\newline(2x2)/(3x3)=(2×x33×x2)(\frac{2}{x^2})/(\frac{3}{x^3}) = (\frac{2 \times x^3}{3 \times x^2})
  2. Simplify by canceling: Simplify the expression by canceling out x2x^2.2⋅x33⋅x2=2⋅x3\frac{2 \cdot x^3}{3 \cdot x^2} = \frac{2 \cdot x}{3}
  3. Final simplified answer: The expression is now simplified.\newlineFinal answer: (2×x3)(\frac{2 \times x}{3})

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