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
Apply the Quotient Rule of Integer Exponents to simplify 23^65÷23^32.(1 point)
Responses
23^33
97
23^97
1^33
Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53.(1 point)
Responses
5^106
12^106
12^53÷7^53
5^53
Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 point)
Responses
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, 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 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.
The correct answers for each question are as follows:
1. Simplify t^400 * t^100 using the Quotient Rule of Integer Exponents: Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form. The answer is t^500.
2. Simplify a^67/b^34 using the Quotient Rule of Integer Exponents: Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form. The answer is a^33.
3. Apply the Quotient Rule of Integer Exponents to simplify 23^65 ÷ 23^32: Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form. The answer is 23^33.
4. Simplify 12^53 ÷ 7^53 using the Quotient Rule of Integer Exponents: 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 answer is 12^53 ÷ 7^53.
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 (leave as-is otherwise);
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.
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)
- Write the resulting expression in exponential form.