Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point)
Responses
t500
t superscript 500 baseline
t4
t superscript 4 baseline
300
300
t300
1. t300
2. a67/b34
3. 23 33
4. 12 53 / 7 53
5. 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
finally some answers is correct 100%
t500
that is incorrect
Apologies for the mistake. Let's simplify the expression using the Quotient Rule of Integer Exponents.
The Quotient Rule states that when dividing two expressions with the same base, we subtract their exponents.
In this case, t400 divided by t100 would be denoted as t^(400-100) = t^300.
Therefore, the simplified expression is t^300.
Simplify a67b34
To simplify the expression a^67b^34, we cannot simplify it further as there are no common factors or operations to be performed between a and b. Therefore, the expression a^67b^34 remains the same.
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, 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.
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.
The correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents are:
1. Check if the bases are the same. If they are, subtract the exponents of the numerator and denominator.
2. Write the resulting expression in exponential form.
So the correct option 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.
Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point)
Responses
300
300
t300
t superscript 300 baseline
t500
t superscript 500 baseline
t4