Simplify this expression using the “net rule of integer exponents 12 superscript 53÷7 ² 53 would the answer be five superscript 106 12 superscript 53÷7 superscript 5312 superscript 106 or five super script 53

Answer 1

To simplify the expression \( 12^{53} \div 7^{2} \cdot 5^{106} \), we can analyze it step by step.

First, let's break down the expression:

1. Rewriting the expression: \[ \frac{12^{53}}{7^{2}} \cdot 5^{106} \]

2. Applying the rule of exponents: Since there are no like bases to combine here, we will keep the expression as is. However, you can observe there's no base of \(5\) or \(12\) that can combine with \(7\), and the result involves all three bases.

Thus, the expression remains: \[ 12^{53} \div 7^{2} \cdot 5^{106} \]

From your options:

• \( 5^{106} \)
• \( 12^{53} \div 7^{53} \)
• \( 12^{106} \)
• \( 5^{53} \)

None directly represent \( 12^{53} \div 7^{2} \cdot 5^{106} \) as simplified further. Thus, the correct approach suggests recognizing the significant terms throughout as combined.

None of the options simplify or equal \( 12^{53} / 7^{2} \cdot 5^{106} \).

If you are looking for a simplified single expression directly from the choices given, please verify or provide additional context.