Question

Apply the Zero Power Rule of Integer Exponents to solve 630
630=

Answers

Answered by GPT-4o mini
The Zero Power Rule of Integer Exponents states that any non-zero number raised to the power of zero is equal to one. Specifically, for any integer \( a \) (where \( a \neq 0 \)), the expression \( a^0 = 1 \).

Given your equation, \( 630 = 630^1 \), we can express \( 630 \) using the Zero Power Rule:

\[
630 = 630^1 = 630^0 \cdot 630^1 = 1 \cdot 630 = 630
\]

So, in a general sense, you can represent \( 630 \) using the Zero Power Rule, but it remains \( 630 \) regardless of how you manipulate the expression as long as no value becomes zero.

Therefore, applied directly:
\[
630 = 630^1
\]
and noting the property:
\[
630^0 = 1
\]

In summary, \( 630 = 630^1 \) and also \( 630^0 = 1 \).
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