Simplify a67b34

Question

𝑎
67
𝑏
34
.(1 point)
Responses

a67b34
𝑎
67
𝑏
34
Start Fraction a superscript 67 baseline over b superscript 34 baseline End Fraction

a33
𝑎
33
a superscript 33 baseline

23
23

ab33

Answer 1

To simplify the expression \( \frac{a^{67}}{b^{34}} \), we look for possible simplifications or factorizations of the terms.

Since there are no common bases to combine, the expression remains as it is. However, if you're looking for a format:

1. We can express it as a fraction:

\[ \frac{a^{67}}{b^{34}} \]

So the correct representation of the expression \( \frac{a^{67}}{b^{34}} \) is:

• Start Fraction a superscript 67 baseline over b superscript 34 End Fraction

This representation matches the first option. Therefore, the correct simplified form is: \(\frac{a^{67}}{b^{34}}\).

If you wanted to express it in terms of different powers or coefficients, please provide specific requirements for further simplification or reformatting.

Answer 2

Apply the Quotient Rule of Integer Exponents to simplify 2365÷2332
23
65
÷
23
32
.(1 point)
Responses

2397
23
97
23 superscript 97 baseline

2333
23
33
23 superscript 33 baseline

133
1
33
1 superscript 33 baseline

97

Answer 3

To simplify the expression \(\frac{23^{65}}{23^{32}}\) using the Quotient Rule of Integer Exponents, we apply the rule which states:

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

In this case, we have:

\[ \frac{23^{65}}{23^{32}} = 23^{65 - 32} = 23^{33} \]

Therefore, the simplified result is:

\[ 23^{33} \]

So, the correct response is:

2333 \(\quad 23^{33}\) \(\quad\) \(23\) superscript \(33\) baseline.