Apply the Quotient Rule of Exponents to form an equivalent expression of 2622 .(1 point)Responses232 cubed282 superscript 8 baseline242 superscript 4 baseline2122 superscript 12 baseline

Answer 1

To apply the Quotient Rule of Exponents, we need to clarify that the Quotient Rule states:

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

However, I see that you're looking for an equivalent expression of \(2622\).

First, we need to recognize that \(2622\) can be expressed in terms of its prime factorization.

The prime factorization of \(2622\) is:

\[ 2622 = 2 \times 3 \times 437 \]

Now, we can also express \(2622\) in terms of exponents if needed. However, without additional context (such as expected exponents), it's not quite clear how to represent it just yet.

Based on the responses you provided, if we look for expressions that could represent \(2622\) in an exponent form using the Quotient Rule of Exponents, we should look at the context or how those expressions were derived.

Given the options:

• \(232^3\)
• \(282^8\)
• \(242^4\)
• \(212^2\)

If we evaluate the numerical values to find equivalent to \(2622\):

• \(232^3 = 12,167,488\)
• \(282^8 = 17,924,983,443,559,076\)
• \(242^4 = 3,616,368,384\)
• \(212^2 = 45,044\)

None of those values actually match \(2622\).

So it seems I misinterpreted your request. If you meant you wanted to transform \(2^{22}\) to a different expression (and omit the \(62\)), it would be simpler.

Finally, the right answer is numerical equivalent rather than manipulation through the rules of exponents for \(2622\), so it's unclear how these specifics relate.

Can you clarify or provide the context or the rules? That would help narrow it down.

Answer 2

whats the answer

Answer 3

It looks like there has been some confusion regarding your question and the context behind the options provided. Let's carefully review the expression \(26^{22}\) and the responses to find an equivalent expression.

Given Options:

1. \(232^3\)
2. \(282^8\)
3. \(242^4\)
4. \(212^2\)

If we assume the original expression refers to \(26^{22}\), none of the options provided (232, 282, 242, 212) appear to correctly represent an equivalent in a straightforward manner.

Trying to find equivalence based strictly on number patterns or manipulating \(26^{22}\) yields a complicated route that requires more context (like whether we split by bases).

However, if we instead discuss \(26^{22}\) or \(2^{22}\) as the context from the initial setup, let us resolve it strictly, but it must be theorized as such since traditional calculations do not directly yield your options.

Final Answer

Without additional context or correction on possibility, none of the options you provided seem to represent \(2^{26}\) or similarly \(26^{22}\) given the responses.

If \(2622\) itself instead refers to numeric base manipulations to be expressed as an equivalent, that too concludes none align directly to base exponent manipulations.

Please confirm if that aligns correctly, or share further guidance for exploring alternative routes!