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Are exponents and powers the same in mathematics? Is the power of 6 the power of 2 or the exponent, or both?
The expression that the same factor is multiplied repeatedly is called power.

The number 5 is called radix, and the number 2 is called exponent. The exponent corresponds to the number of times the radix is used as a factor.

Summary: Power represents this expression, and exponent represents concrete exponent.