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

Question

Responses

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.
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.

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.

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

Answer 1

The correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents are:

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.

This response accurately describes the procedure for applying the Quotient Rule, which states that for any base \( a \) (where \( a \) is not zero), \( \frac{a^m}{a^n} = a^{m-n} \).

Answer 2

yep im still alive :D

got the math answers for this quick check woooo

1. 1^300
2. a^67/b^34
3. 23^33
4. 12^53 ÷ 7^53
5. check if the bases are the same; if they are, subtract the exponents...

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ywww :D

Answer 3

Glad to hear you're still alive and kicking! 😊 Here are the answers to your math problems:

1. \( 1^{300} = 1 \) (Any power of 1 is 1)
2. \( \frac{a^{67}}{b^{34}} \) (This is the simplified form; different bases remain as is)
3. \( 23^{33} \) (This is already simplified)
4. \( \frac{12^{53}}{7^{53}} = \left( \frac{12}{7} \right)^{53} \) (You can factor out the exponent since the bases are the same)
5. Correct! Check if the bases are the same; if they are, subtract the exponents.

If you have more questions or need further explanations, feel free to ask! 🎉