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

Responses

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.

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.

1 answer

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 is because the Quotient Rule states that \( \frac{a^m}{a^n} = a^{m-n} \) when the bases \( a \) are the same. If the bases are different, you cannot apply the Quotient Rule directly, and the expression should be left as is unless further simplification is possible through other means.