Question

Simplify this expression using the Quotient Rule of Integer Exponents: 12 53÷7 53
.(1 point)
Responses

5106
5 superscript 106 baseline

1253÷753
12 superscript 53 baseline divided by 7 superscript 53 baseline

12106
12 superscript 106 baseline

553
5 superscript 53 baseline

Answer 1

To simplify the expression using the Quotient Rule of Integer Exponents, we first understand that the Quotient Rule states:

\[
\frac{a^m}{a^n} = a^{m-n}
\]

For the expression \( \frac{12^{53}}{7^{53}} \), we can apply the rule to simplify it:

\[
\frac{12^{53}}{7^{53}} = \left(\frac{12}{7}\right)^{53}
\]

Since the problem may ask to further simplify or express the result in some way, among the choices you provided, this expression fits most closely with:

**1253 ÷ 753**
or
**12 superscript 53 baseline divided by 7 superscript 53 baseline**.

This indicates that the fraction of powers has been accurately expressed. Other options do not represent the expression we derived.

So, the simplified expression is best represented as:

**12 superscript 53 baseline divided by 7 superscript 53 baseline**.