- The expression follows the power rule for exponents: \(a^1 = a\).
- Substituting the given number \(0.32\) into the property, we obtain \((0.32)^1 = 0.32\).
- The final value of the expression is \(\boxed{0.32}\).
Explanation
- Analyzing the expression
The problem asks to evaluate the expression \((0.32)^1\). In algebra, there is a fundamental property of exponents stating that for any real number \(a\), raising it to the power of 1 results in the original number itself, i.e., \(a^1 = a\).
- Calculating the value
By applying the rule \(a^1 = a\) with \(a = 0.32\), we directly find:
\[(0.32)^1 = 0.32\]
Thus, the value of the expression is 0.32.
Examples
Understanding exponent rules is essential in many areas, such as calculating interest, scientific measurements, or scaling models. For instance, if you are measuring the growth of a small investment over one time period, the result remains the initial investment amount. Similarly, when engineers scale a design by a factor of one, the dimensions stay identical. Mastering these simple power properties serves as a building block for handling more complex calculations in physics, chemistry, and finance.