3 to the power of -17/8 and to the power of 8 to the power of -14 with positive exponents only

1 answer

To rewrite the expressions \(3^{-17/8}\) and \(8^{-14}\) using positive exponents, we apply the property of exponents that states \(a^{-n} = \frac{1}{a^n}\).

  1. For the first expression \(3^{-17/8}\): \[ 3^{-17/8} = \frac{1}{3^{17/8}} \]

  2. For the second expression \(8^{-14}\): \[ 8^{-14} = \frac{1}{8^{14}} \]

Thus, the two expressions with positive exponents are:

  • \(3^{-17/8} = \frac{1}{3^{17/8}}\)
  • \(8^{-14} = \frac{1}{8^{14}}\)