Quotient Rule of Exponents Quick Check
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Simplify this expression using the Quotient Rule of Integer Exponents: t^400 t^100.(1 point)
Responses
t^500
t^300
t^4
300
Simplify a^67/b^34.(1 point)
ab^33
23
a^33
a^67 / b^34
a^33
To simplify the expression t^400 t^100 using the Quotient Rule of Exponents, we add the exponents:
t^400 t^100 = t^(400 + 100) = t^500
Therefore, the correct answer is t^500.
For the expression a^67/b^34, we subtract the exponents:
a^67 / b^34 = a^(67 - 34) / b^34 = a^33 / b^34
Therefore, the correct answer is a^33 / b^34.