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Equation involving Indices

Equation involving Indices

Secondary 3
  1. Given that \({{7}^{-2}}\times {{7}^{x}}=1\), find the value of \(x\).
  2. Solve \({{7}^{x-1}}={{\left( \frac{1}{49} \right)}^{\frac{3}{2}}}\) .

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Answer:(i) \(x=2\). (ii) \(x=-2\).

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