Repeated multiplication of the same factor is represented compactly by a power: the base identifies the repeated factor, and the whole-number exponent counts how many times it is used as a factor, as in . The notation preserves the distinction between the base and exponent, including parentheses for negative bases; negative and fractional exponents, and more advanced exponent laws, are not included.
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When the same factor is multiplied by itself repeatedly, write it as a power:
Rewrite:
Step 1: Identify the repeated factor.
The factor being repeated is , so the base is .
Step 2: Count how many times it appears.
There are three factors of , so the exponent is .
Step 3: Write the power.
The parentheses show that the entire number is the base.
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