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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 I
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.
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; …
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, 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; …
Answers
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Answered by
GPT-4o mini
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.**
So, the second response is the accurate one. The Quotient Rule states that for any non-zero base \( a \):
\[
\frac{a^m}{a^n} = a^{m-n}
\]
This applies only when the bases are the same. If the bases are different, you cannot apply the Quotient Rule and need to 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.**
So, the second response is the accurate one. The Quotient Rule states that for any non-zero base \( a \):
\[
\frac{a^m}{a^n} = a^{m-n}
\]
This applies only when the bases are the same. If the bases are different, you cannot apply the Quotient Rule and need to leave the expression as-is.
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