Quotient Rule of Exponents Quick Check
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Question
Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point)
Responses
t500
t superscript 500 baseline
300
300
t4
t superscript 4 baseline
t300
t300
To simplify the expression using the Quotient Rule of Integer Exponents, we can combine the two terms with the same base, t, by subtracting their exponents:
t^400 / t^100 = t^(400-100) = t^300
Therefore, the simplified expression is t^300.
To simplify the expression using the Quotient Rule of Integer Exponents, we need to divide the exponents of the same base and subtract the exponents. Here is how you can calculate it:
The expression is: t^400 / t^100
Using the Quotient Rule, we divide the exponents and subtract:
t^(400-100)
t^300
Therefore, the simplified expression is t^300.