To evaluate who correctly used the Power Rule of Exponents to create an equivalent expression for \( (153)^9 \), we first need to clarify that the Power Rule states that \( a^m \cdot a^n = a^{m+n} \).
Now, let’s analyze the expressions provided by each person:
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Amy's expression: 1527 - This does not seem to directly follow any exponent rules. \( 153^9 \) does not simplify to 1527.
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Miguel's expression: 1512 - Similar to Amy, this does not represent any valid exponent manipulation of \( 153^9 \).
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Lin's expression: 153 - This is simply \( 153^1 \), which is not an equivalent expression to \( (153)^9 \).
In conclusion, none of the expressions provided (Amy’s 1527, Miguel’s 1512, or Lin’s 153) correctly represent the use of the Power Rule of Exponents for creating an equivalent expression for \( (153)^9 \). Therefore, it seems none of them correctly applied the rule.
If instead, the task was solely to identify the use of the Power Rule to rewrite expressions in terms of \( (153)^9 \), none accomplished this correctly based on the expressions provided. Please reconfirm the context or expressions to assist further.
1 answer