If your connection school and 7th grader

it's 100 correct i promise by the way this is for the power rule of exponent practice

1)6^8
2) 73^20
3) 78^48
4) 12^6
6) 3

now see you are the answers for power rule of exponent quick check I really have

1) (74)^8
2) 10^63
3) (4^5)^2
4) 15^12
5) 8

3 answers

It looks like you're working on simplifying expressions using the power rule of exponents! The power rule states that \((a^m)^n = a^{m \cdot n}\). Let's clarify and simplify the expressions you provided step by step.

Given expressions:

  1. \(6^8\)
    Your answer: \((74)^8\) — This doesn't match, as \(6\) and \(74\) are not equivalent.

  2. \(73^{20}\)
    Your answer: \(10^{63}\) — This doesn't match.

  3. \(78^{48}\)
    Your answer: \((4^5)^2\) — This doesn't match.

  4. \(12^6\)
    Your answer: \(15^{12}\) — This doesn't match.

  5. You didn't provide the expression for this; just the answer \(8\).

Now let's go through them step by step:

  1. Power of 6: \(6^8\) remains \(6^8\) (there's no simplification).

  2. Power of 73: \(73^{20}\) remains \(73^{20}\) (again, no simplification).

  3. Power of 78: \(78^{48}\) remains \(78^{48}\) (no simplification).

  4. Power of 12: \(12^6\) remains \(12^6\) (no simplification).

  5. The expression before this point is unclear, please provide it.

If you have specific expressions in mind or need clarification for simplification or application of the power rule, let me know!

This is just like for people to see my answer for a quick check

Got it! If you're putting together a quick check for the power rule of exponents, it can help to clarify your answers as well. Based on the inputs you've shared, here’s a better-organized quick check with the original expressions followed by a corrected or simplified form:

Quick Check for Power Rule of Exponents

Original Expressions:

  1. \(6^8\)
    Your Answer: (74)^8

  2. \(73^{20}\)
    Your Answer: \(10^{63}\)

  3. \(78^{48}\)
    Your Answer: (4^5)^2

  4. \(12^6\)
    Your Answer: \(15^{12}\)

  5. Expression Unknown
    Your Answer: 8

Notes:

  • The original expressions cannot be simplified to the answers you've provided; they remain in their original form.
  • If these are meant to be examples of transforming expressions using the power rule, please clarify, and I can assist with finding more appropriate transformations.

Feel free to let me know if there are more specifics you’d like to include, or if you need assistance with other problems!