This task is primarily suited for instruction as written, though could be used for assessment in settings where variedanswers (as in solutions below) can easily be checked, in particular for formative assessment. The purpose of the task is to connect properties of fractional exponents with ordering of real numbers. One can place the numbers on the number line to emphasize this.

Students may be allowed to use their own calculator but not the exponential button (in a classroom setting) or supplied with a rudimentary calculator (in an assessment setting).

Decimal exponent activity