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Precalculus: Exponents and Scientific Notation

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Terms in this set (18)

  • Evaluate the expression: \(-9^{-2}\)
    The value is 1/81.
  • Evaluate the expression: \(2^9 \cdot 5^{-8} \div 2^8 \cdot 5^{-9}\)
    The simplified value is 10.
  • Evaluate the expression: \(11^{2} \cdot 11^{-2}\)
    The value simplifies to 1.
  • Simplify the expression: \(\frac{2x^{3}y}{x^{4}}^{3}\) without negative exponents
    The simplified form is 8y^{3} / x^{3}.
  • Simplify the expression: \((-3x^{4})^{-2}\) without negative exponents
    The simplified form is 16 / 9x^{2}.
  • Simplify the expression: \(\frac{x^{3}y^{-3}}{x^{-1}y}\) with positive exponents
    The simplified form is x^{4} / y^{4}.
  • Simplify the expression: \(\frac{3x^{5}y^{4}z^{2}}{x^{5}y^{4}z^{-7}}\) without negative exponents
    The simplified form is 9 / x^{25}y^{20}z^{5}.
  • Simplify the expression: \(\left(\frac{xy^{-4}z^{-2}}{x^{2}y^{-5}z^{3}}\right)^{-2}\)
    The simplified form is z^{10}x^{2} / y^{2}.
  • Convert 6,600,000 to scientific notation
    The number in scientific notation is 6.6 \(\times\) 10^{6}.
  • Convert 0.0000811 to scientific notation
    The number in scientific notation is 8.11 \(\times\) 10^{-5}.
  • Express 12,900 in scientific notation
    The number in scientific notation is 1.29 \(\times\) 10^{4}.
  • Express 3,490 in scientific notation
    The number in scientific notation is 3.49 \(\times\) 10^{3}.
  • Express 1,370,000 in scientific notation
    The number in scientific notation is 1.37 \(\times\) 10^{6}.
  • Express 133,000 in scientific notation
    The number in scientific notation is 1.33 \(\times\) 10^{5}.
  • Express 4,600 in scientific notation
    The number in scientific notation is 4.60 \(\times\) 10^{3}.
  • Write 1,540,000,000,000 in scientific notation
    The number in scientific notation is 1.54 \(\times\) 10^{12}.
  • Convert 0.00000000047 to scientific notation
    The number in scientific notation is 4.7 \(\times\) 10^{-10}.
  • Write 6,150,000,000,000,000,000,000,000 in scientific notation
    The number in scientific notation is 6.15 \(\times\) 10^{24}.