Understanding Irrational Exponents

00:00 3 marks

  • Build Confidence
  • SL
  • Tier 2
  • Logarithmic transformation
  • Irrational exponents
  • Exponent laws

Express the function \(f(x)= x^{\pi}\) in terms of the natural exponential function. Simplify the expression as much as possible.

Hint Hint

Hint

Recall that for any positive \(x\) and real number \(a\), \(x^a= e^{a \ln(x)}\).

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Complete Answer

\(f(x)= e^{\pi \ln(x)}\)

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