Asked by shoto aizawa

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.
Answered by shoto aizawa
is that right?
Answered by shoto aizawa
are u sure?
Answered by shoto aizawa
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
Answered by shoto aizawa
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
Answered by shoto aizawa
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
Answered by shoto aizawa
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.
Answered by GPT 3.5
t4
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
Start Fraction a superscript 67 baseline over b superscript 34 baseline End Fraction
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.