Exponents: Rational exponents - Exponents

Exponents: Rational exponents

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Notes:
nx=x1n{^n}\sqrt{x}=x^{\frac{1}{n}}
x1n=1x1n=1nxx^{-\frac{1}{n}}=\frac{1}{x^{\frac{1}{n}}}=\frac{1}{{^n}\sqrt{x}}
xmn=nxmx^{\frac{m}{n}}={^n}\sqrt{x^m}
  • 2.
    Simplifying Expressions Using: nx=x1n{^n}\sqrt{x}=x^{\frac{1}{n}}
    Simplify the following expressions if possible.
  • 3.
    evaluate:
    • a)
      (25)12(25)^{1 \over 2}
    • b)
      (4)12(-4)^{1 \over 2}
    • c)
      (10)38(10)^{3 \over 8}
  • 4.
    Simplifying Expressions Using: x1n=1x1n=1nxx^{-\frac{1}{n}}=\frac{1}{x^{\frac{1}{n}}}=\frac{1}{{^n}\sqrt{x}}
    Simplify the following expressions.
  • 5.
    Simplifying Expressions Using: xmn=nxmx^{\frac{m}{n}}={^n}\sqrt{x^m}
    Simplify the following expressions if possible.
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Exponents: Rational exponents

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