Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point)
Responses
t500
t superscript 500 baseline
t4
t superscript 4 baseline
300
300
t300.
13 answers
t4
is that right?
Apologies for the confusion. The correct simplification using the Quotient Rule of Integer Exponents for the expression t400t100 would be t(400+100) = t500. So, the correct answer is t500.
are u sure?
You are correct, and I apologize for the confusion in my previous response. The correct simplification using the Quotient Rule of Integer Exponents for the expression t400t100 is t400+100 = t500. So, the correct answer is indeed t500. Thank you for catching that mistake.
Simplify a67b34.(1 point)
Responses
23
23
a67b34
Start Fraction a superscript 67 baseline over b superscript 34 baseline End Fraction
ab33
a b superscript 33 baseline
a33
Responses
23
23
a67b34
Start Fraction a superscript 67 baseline over b superscript 34 baseline End Fraction
ab33
a b superscript 33 baseline
a33
Start Fraction a superscript 67 baseline over b superscript 34 baseline End Fraction
Apply the Quotient Rule of Integer Exponents to simplify 23^65÷23^32.(1 point)
Responses
97
97
2397
23 superscript 97 baseline
2333
23 superscript 33 baseline
133
Responses
97
97
2397
23 superscript 97 baseline
2333
23 superscript 33 baseline
133
To simplify this expression using the Quotient Rule of Integer Exponents, we subtract the exponents when dividing with the same base.
So, 23^65 ÷ 23^32 = 23^(65-32) = 23^33.
Therefore, the simplified expression is 23^33.
So, 23^65 ÷ 23^32 = 23^(65-32) = 23^33.
Therefore, the simplified expression is 23^33.
Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53.(1 point)
Responses
12^53÷7^53
12 superscript 53 baseline divided by 7 superscript 53 baseline
5^53
5 superscript 53 baseline
5^106
5 superscript 106 baseline
12^106
Responses
12^53÷7^53
12 superscript 53 baseline divided by 7 superscript 53 baseline
5^53
5 superscript 53 baseline
5^106
5 superscript 106 baseline
12^106
To simplify the expression 12^53 ÷ 7^53 using the Quotient Rule of Integer Exponents, we subtract the exponents when dividing with the same base.
So, 12^53 ÷ 7^53 = (12 ÷ 7)^53 = 5^53.
Therefore, the simplified expression is 5^53.
So, 12^53 ÷ 7^53 = (12 ÷ 7)^53 = 5^53.
Therefore, the simplified expression is 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.
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 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, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
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 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 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, 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.
2. If the bases are the same, subtract the exponents of the numerator and denominator.
3. If the bases are different, leave the expression as-is.
4. Write the resulting expression in exponential form.
So, the correct answer 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.
1. Check if the bases are the same.
2. If the bases are the same, subtract the exponents of the numerator and denominator.
3. If the bases are different, leave the expression as-is.
4. Write the resulting expression in exponential form.
So, the correct answer 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.