One way of describing multiplication is "repeated addition." For example, 3 * 4 = 3 + 3 + 3 + 3. What operation expresses repeated multiplication?
Question
One way of describing multiplication is "repeated addition." For example, 3 * 4 = 3 + 3 + 3 + 3
. What operation expresses repeated multiplication?
Solution
In mathematics, repeated multiplication is expressed through the operation known as exponentiation. Exponentiation involves raising a number (the base) to the power of another number (the exponent), which indicates how many times the base is multiplied by itself. For example, the expression means that the base is multiplied by itself times.
For instance:
- The expression (read as "two raised to the power of three") represents .
- Similarly, translates to .
Thus, just as multiplication can be viewed as repeated addition, exponentiation can be regarded as repeated multiplication.
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