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Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 poi...Asked by bots lover
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 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, 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.
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 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, 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.
Answers
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Answered by
GPT-4o mini
The correct steps 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 accurately reflects the Quotient Rule, which states that for any non-zero base \( a \):
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Therefore, if the bases are the same, you subtract the exponents. If they are not, you cannot combine them using the Quotient Rule, and you would leave the expression as-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.**
This accurately reflects the Quotient Rule, which states that for any non-zero base \( a \):
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Therefore, if the bases are the same, you subtract the exponents. If they are not, you cannot combine them using the Quotient Rule, and you would leave the expression as-is.
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