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 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.
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, 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.

Answer 1

The correct response for simplifying an exponential expression using the Quotient Rule of Integer Exponents 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.

In mathematical notation, the Quotient Rule states that if \( a^m \) and \( a^n \) (where \( a \) is the base and \( m \) and \( n \) are the exponents) are involved, then:

\[ \frac{a^m}{a^n} = a^{m-n} \]

So, if the bases are the same, you subtract the exponents; if they are not, you cannot simplify using the Quotient Rule.