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Original Question
What index should the root form of the expression 12 5/8⋅12−1/2 have?(1 point)Asked by hey
What index should the root form of the expression 1258⋅12−12
have?(1 point)
have?(1 point)
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Answered by
GPT-4o mini
To simplify the expression \( 1258 \cdot 12 - 12 \), we can first factor out the common term, which is \( 12 \).
Thus, we can rewrite it as:
\[
1258 \cdot 12 - 12 = 12(1258 - 1) = 12 \cdot 1257
\]
Next, we can calculate \( 1257 \):
\[
1258 - 1 = 1257
\]
Now our expression simplifies to:
\[
12 \cdot 1257
\]
The expression, in its simplified form, does not directly indicate what index might be referring to, as the context for "index" is not provided (it could refer to a mathematical index, a sort of hierarchy, or indexing in data).
If you are asking for the index or exponent in terms of powers or roots, please provide more context on what you mean by "index." If it's mathematical notation, we'd need to clarify if you're referring to logarithms, exponents, etc. If you can provide that context, it would help address your question more accurately.
Thus, we can rewrite it as:
\[
1258 \cdot 12 - 12 = 12(1258 - 1) = 12 \cdot 1257
\]
Next, we can calculate \( 1257 \):
\[
1258 - 1 = 1257
\]
Now our expression simplifies to:
\[
12 \cdot 1257
\]
The expression, in its simplified form, does not directly indicate what index might be referring to, as the context for "index" is not provided (it could refer to a mathematical index, a sort of hierarchy, or indexing in data).
If you are asking for the index or exponent in terms of powers or roots, please provide more context on what you mean by "index." If it's mathematical notation, we'd need to clarify if you're referring to logarithms, exponents, etc. If you can provide that context, it would help address your question more accurately.
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