power

Question

Hi,

I know that "product" is the result of multiplication. For example the product of 2 and 5 is 10. What is the result called when a number is multiplied by itself . For example ten to the power of two is 100. I want to know what the result (100) is called.

Thanks!

Blue Jay · Accepted Answer

The result of a number being multiplied by itself is the square of the original number.

Gillyflower · Answer

Thank you for your reply.

If the number is multiplied by itself more than one time (when the power is greater than two), then what is the result called.

Blue Jay · Answer

It would be a power of that number, e.g. X to the fourth power, or X to the power of four.
Edit: in the above example X would be the original number, multiplied by itself four times.

Gillyflower · Answer

Compared to "product" or "sum" which are the result of multiplication and addition, can I use "power" to refer to the "result" of exponentiation?

Thank you!

Blue Jay · Answer

Yes.

CalifJim · Answer

gillyflowerCompared to "product" or "sum" which are the result of multiplication and addition, can I use "power" to refer to the "result" of exponentiation?Thank you!

You can, but consider that if you keep adding the same number to itself (5+5+5+5), the result has no special name. It is still a sum. Likewise, if you keep multiplying the same number by itself (5*5*5*5), the result is still a product.

This is more like a question that should be asked on a mathematics forum, but it seems to me (making an educated guess) that with exponentiation the X, Y, and Z in X^Y = Z, X is the base or root, Y is the exponent or power, and Z is the product.

CJ

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