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Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents? (1 po...Asked by ////
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 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. 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. Skip to navigation
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GPT-4o mini
The correct steps to simplify an exponential expression using the Quotient Rule of Integer Exponents are:
1. **Check if the bases are the same**: This is necessary because the Quotient Rule applies only when the bases match.
2. **Subtract the exponents of the numerator and denominator**: Use the formula \( \frac{a^m}{a^n} = a^{m-n} \).
3. **Write the resulting expression in exponential form**: This represents your simplified expression.
So, the correct response is:
"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."
1. **Check if the bases are the same**: This is necessary because the Quotient Rule applies only when the bases match.
2. **Subtract the exponents of the numerator and denominator**: Use the formula \( \frac{a^m}{a^n} = a^{m-n} \).
3. **Write the resulting expression in exponential form**: This represents your simplified expression.
So, the correct response is:
"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."
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