Simplify this expression using the Quotient Rule of Integer Exponents: t to the power of 400/t to the power of 100
Using the Quotient Rule of Integer Exponents, when you divide two powers with the same base, subtract the exponents:
t^400 / t^100 = t^(400-100) = t^300
So, the simplified expression is t to the power of 300.
simplify a to the power of 67/b to the power of 34
Using the Quotient Rule of Integer Exponents, we can simplify the expression:
a^67 / b^34
By subtracting the exponents of the same base when two terms are divided, we can rewrite this as:
a^(67-34) / b^34
Simplifying further:
a^33 / b^34
simplify a^67/b^34
a^33
ab^33
23
1^67/b^34
The simplified expression for a^67/b^34 is a^33 / b^(34), or simply a raised to the power of 33 over b raised to the power of 34.
Apply the Quotient Rule of Integer Exponents to simplify 23^65÷23^32
23^33
1^33
23^97
97
Applying the Quotient Rule of Integer Exponents, we have:
23^65 ÷ 23^32 = 23^(65-32) = 23^33
Therefore, the simplified expression is 23 to the power of 33.
Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53.
5^106
12^53÷7^53
5^53
12^106
Using the Quotient Rule of Integer Exponents, we subtract the exponents of the same base:
12^53 ÷ 7^53 = (12/7)^53
Therefore, the simplified expression is (12/7)^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.
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.
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.
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, add 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:
1. Check if the bases are the same. If they are, proceed to step 2. If not, the expression cannot be simplified further using the Quotient Rule.
2. Subtract the exponents of the numerator and denominator. Write the resulting expression in exponential form.
Apologies for the confusion. You are correct. 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, proceed to step 2. If not, the expression cannot be simplified further using the Quotient Rule.
2. If the bases are the same, subtract the exponents of the numerator and denominator (leave as-is otherwise).
3. Write the resulting expression in exponential form.
awnsers are:
t^300
a^67/b^34
23^33
12^53 ÷ 7^53
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