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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?

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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 an a^n means that the base a a is multiplied by itself n n times.

For instance:

  • The expression 23 2^3 (read as "two raised to the power of three") represents 2×2×2=8 2 \times 2 \times 2 = 8 .
  • Similarly, 54 5^4 translates to 5×5×5×5=625 5 \times 5 \times 5 \times 5 = 625 .

Thus, just as multiplication can be viewed as repeated addition, exponentiation can be regarded as repeated multiplication.

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