Write repeated multiplication using exponent notation

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 $5 \times 5 \times 5=5^3$ . 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.

Detailed Explanation: Write repeated multiplication using exponent notation

When the same factor is multiplied by itself repeatedly, write it as a power:

The repeated factor is the base.
The number of times it appears is the exponent.

Example

Rewrite:

(-2)\times(-2)\times(-2)

Step 1: Identify the repeated factor.
The factor being repeated is $-2$ , so the base is $(-2)$ .

Step 2: Count how many times it appears.
There are three factors of $-2$ , so the exponent is $3$ .

Step 3: Write the power.

(-2)\times(-2)\times(-2)=(-2)^3

The parentheses show that the entire number $-2$ is the base.

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Exponents - Simplified Form

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