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, 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.
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.
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 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.
To properly simplify an exponential expression using the Quotient Rule of Integer Exponents, you should follow these steps:
1. **Check if the bases are the same**: The Quotient Rule can only be applied if the bases of the exponents in the numerator and the denominator are identical.
2. **Subtract the exponents of the numerator and denominator if the bases are the same**: If you have the same base in both the numerator and the denominator, you subtract the exponent in the denominator from the exponent in the numerator.
3. **Write the resulting expression in exponential form**: After subtracting the exponents, write the base raised to the new power which comes from the subtraction of the exponents.
So the correct response from the options provided would be:
"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."
You've listed this option twice at the beginning, so just consider it as one correct response. If the bases are not the same, the Quotient Rule does not apply, and you cannot subtract the exponents. Also, you do not add the exponents when simplifying using the Quotient Rule; adding is used for the Product Rule of exponents, not the Quotient Rule.