To simplify the expression \( (156)^2 \) using the Power Rule of Exponents, we can rewrite it in terms of its base and exponent.
The Power Rule states that \( (a^m)^n = a^{m \cdot n} \).
In this case, we rewrite \( 156 \) as \( 15 \times 10 + 6 \), which does not directly apply to the simplification. Instead, we can take the base \( 15 \) as a common factor:
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Rewrite \( 156 \) as \( 15 \times 10 + 6 \)
- Although this does not apply for exponents.
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Alternatively, observe that: \((156)^2\) can be straightforwardly expanded or calculated as a number.
However, focusing purely on exponents, if we represent the components:
We can look for patterns or direct results. The mathematical expression \( (156)^2 \) can be calculated straightforwardly as \( 156 \times 156 = 24336 \), and we don't have a direct exponent representation like \( 15^m \).
Thus, from your response choices, they seem to focus on simplifying that against the base present instead of directly simplifying \( 156^2 \). Since none of the choices directly represent \( 156^2 \) without computational context, they're presumable simplifications.
Given the traditional forms suggesting:
- Each option indicates an exponentiation of \( 15 \).
None of the existing expressions directly encapsulate \( \textbf{(156)}^2 \) but focus on patterns.
By reassessing: We should clarify \( 156 \) will further direct less on \( 15^m \) unless broken. It should hint towards \( 15^2 \), with exponent processing potentially yielding more profound interpretations.
Given these conditions, please confirm our workings among these offers:
- "158"
- "1512"
- "153"
- "154"
The prominent outcome is \( (15^m)\) as processed through powers. These are less likely academically to be relevant.
Thus the answer to the distinct prompt focusing on an equivalent or clear representations indicates: For future accuracy instructively affirmed hence reflected through \( 156 = 15 \cdot 10 + 6\): You may find \( (15×10 + 6)^2 \) growing again determined in combination without clearer definitions relative from choices given.
Please refer specifically alongside on confirmed decision with clarity or graded marks represented from this interpretation accordingly.
2 answers