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Section 1.1 : Integer Exponents

2. Evaluate the following expression and write the answer as a single number without exponents.

\[\frac{{{{\left( { - 2} \right)}^4}}}{{{{\left( {{3^2} + {2^2}} \right)}^2}}}\] Show Solution

There is not really a whole lot to this problem. All we need to do is the evaluations recalling the proper order of operations.

\[\frac{{{{\left( { - 2} \right)}^4}}}{{{{\left( {{3^2} + {2^2}} \right)}^2}}} = \frac{{16}}{{{{\left( {9 + 4} \right)}^2}}} = \frac{{16}}{{{{\left( {13} \right)}^2}}} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{16}}{{169}}}}\]

Remember that we need to do the evaluations inside the parenthesis in the denominator before we deal with the overall exponent that is on the parenthesis.