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The of an exponential expression tells how many times the base is multiplied by itself.

Question

The of an exponential expression tells how many times the base is multiplied by itself.

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Solution

The blank in your statement seems to refer to "exponent" or "power". So, the complete statement would be:

"The exponent of an exponential expression tells how many times the base is multiplied by itself."

Explanation:

In mathematics, an exponent or power is a notation that indicates the number of times a number, known as the base, is used in a multiplication. For example, in the expression 23 2^3 , the base is 2, and the exponent is 3, which means that 2 is multiplied by itself 3 times:

23=2×2×2=8. 2^3 = 2 \times 2 \times 2 = 8.

Similarly, if we take a base of 5 with an exponent of 4, we write 54 5^4 , which equals

5×5×5×5=625. 5 \times 5 \times 5 \times 5 = 625.

Understanding exponents is crucial in various branches of mathematics, including algebra, calculus, and number theory, as they help simplify expressions and solve equations efficiently.

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