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Solving Exponent Equations with Fractional Powers

Solving Exponent Equations with Fractional Powers

Secondary 3

Assume \(a>0\) and \(a\ne1\).

If \({{\left( {{a}^{x}} \right)}^{\frac{2}{3}}}=\frac{1}{{{a}^{2}}}\), find the value of \(x\).

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Answer:\(x=-3\).

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