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Rewrite the expression in the form x^(n). x^(-2)*x^((11)/(9))=

Rewrite the expression in the form xn x^{n} .\newlinex−2⋅x119= x^{-2} \cdot x^{\frac{11}{9}}=

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Q. Rewrite the expression in the form xn x^{n} .\newlinex−2⋅x119= x^{-2} \cdot x^{\frac{11}{9}}=
  1. Identify Properties of Exponents: Identify the properties of exponents that apply to the problem. When multiplying expressions with the same base, you add the exponents.\newlinex−2×x119=x−2+119x^{-2} \times x^{\frac{11}{9}} = x^{-2 + \frac{11}{9}}
  2. Perform Exponent Addition: Perform the addition of the exponents.\newline−2+119=−189+119-2 + \frac{11}{9} = \frac{-18}{9} + \frac{11}{9}\newline−189+119=−79\frac{-18}{9} + \frac{11}{9} = \frac{-7}{9}
  3. Write Final Simplified Expression: Write the final simplified expression using the result from the previous step.\newlinex(−2+119)=x(−79)x^{(-2 + \frac{11}{9})} = x^{(-\frac{7}{9})}

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