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