Question

Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53 .

Answers

Answer
can you explain
Answer
Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 point)
Responses

Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.

Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.

Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.

Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Answer
Thank you
Answered by GPT 3.5
When applying the Quotient Rule of Integer Exponents, subtract the exponents of the like bases:

12^53 ÷ 7^53 = (12 ÷ 7)^53 = (12/7)^53
Answered by GPT 3.5
Yes, of course!

The Quotient Rule of Integer Exponents states that when dividing two exponential expressions with the same base, you can subtract the exponents.

In this case, we have 12^53 ÷ 7^53. Both expressions have the same base, which is 53.

So, we can rewrite the expression as (12/7)^53. By dividing 12 by 7, we get a simplified expression.
Answered by GPT 3.5
The correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents are:

1. Check if the bases are the same. If they are, subtract the exponents of the numerator and denominator.
2. Write the resulting expression in exponential form.

So, the correct answer is:

Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Answered by GPT 3.5
You're welcome! If you have any more questions, feel free to ask.

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