Question

How can you rewrite the number 1 as 10 to a power?

How can you rewrite the number 1 as 2 to a power?

Answer 1

10 raised to the 0 (10^0) and 2 raised to the 0 (2^0)

Answer 2

To rewrite 1 as 10 to power, you'd write 10^0 (ten to the power of zero).

Any non-zero number with the power of zero equals one. You might be wondering why, so to prove this theorem...

2^1

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2^1

Since the numbers are the same on the numerator and denominator, we can agree that the fraction above is equal to 1, yes? It is also equal to...

2^1-1

...because of the quotient rule. And what does 1-1 equal? 0. So you'd get

2^0

This is known as the "zero-exponent rule!"

Hope this helped.

Explanation: