Simplify this expression using the Quotient Rule of Integer Exponents: t400t100. Quotient Rule of Exponents Quick Check
Question 1)
t^300 (the ^ symbol means that the number after it is small)
Question 2)
a^67/b^34 (the slash means that it's a fraction)
Question 3)
23^33
Question 4)
12^53 ÷ 7^53
Question 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.
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To simplify the expression t400t100 using the Quotient Rule of Integer Exponents, we need to apply the rule which states that when dividing two terms with the same base, we subtract the exponents.
The expression can be rewritten as t(400-100), which simplifies to t^300.
Thus, the simplified expression using the Quotient Rule of Integer Exponents is t^300.