Example 2

Consider the expression “three-tenths to the fifth power.” Rewrite this expression using decimals, first in exponential form and then in expanded form. Then, write the original expression using fractions, first in exponential form and then in expanded form. Finally, evaluate both the decimal version and the fraction version of the expression.
  1. Write the expression “three-tenths to the fifth power” as a numeric expression using decimals in exponential form.
  2. Write the expression in expanded form.
  3. Write the expression “three-tenths to the fifth power” as a numeric expression using fractions in exponential form.
  4. Write the expression in expanded form.
  5. Evaluate the decimal and fraction versions of the expression.
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