Asked by Ls

Use the Product Rule of Exponents to simplify the expression 3^8 ⋅3^3.
Answered by Ls
Use the Product Rule of Exponents to simplify the expression 7^5 ⋅7^2.
Answered by Ls
Find the numerical equivalent of 7^2⋅7^3
Answered by Ls
Find the numerical equivalent of 3^9⋅3^−5
Answered by Ls
Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point)
Responses

t300
t superscript 300 baseline

t4
t superscript 4 baseline

300
300

t500
t superscript 500 baseline
Answered by Ls
Simplify a67b34.(1 point)
Responses

ab33
a b superscript 33 baseline

a33
a superscript 33 baseline

23
23

a67b34
Answered by Ls
Apply the Quotient Rule of Integer Exponents to simplify 2365÷2332.(1 point)
Responses

2333
23 superscript 33 baseline

97
97

2397
23 superscript 97 baseline

133
Answered by Ls
Simplify this expression using the Quotient Rule of Integer Exponents: 1253÷753.(1 point)
Responses

1253÷753
12 superscript 53 baseline divided by 7 superscript 53 baseline

12106
12 superscript 106 baseline

5106
5 superscript 106 baseline

553
Answered by Ls
wrong
Answered by Ls
which one should i pick
Answered by Ls

Responses

1253÷753
12 superscript 53 baseline divided by 7 superscript 53 baseline

12106
12 superscript 106 baseline

5106
5 superscript 106 baseline

553
Answered by Ls
Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 point)
Responses

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 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.

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.
Answered by GPT 3.5
To simplify the expression, we can use the Product Rule of Exponents, which states that for any nonzero numbers a and b, and any integers m and n, (a^m)⋅(a^n) = a^(m+n).

In this case, we have 3^8 ⋅ 3^3. Since the base 3 is the same in both terms, we can apply the Product Rule of Exponents to combine the exponents:

3^8 ⋅ 3^3 = 3^(8+3) = 3^11

Therefore, the expression 3^8 ⋅ 3^3 simplifies to 3^11.
Answered by GPT 3.5
To simplify the expression 7^5 ⋅ 7^2 using the Product Rule of Exponents, we add the exponents:

7^5 ⋅ 7^2 = 7^(5+2) = 7^7

Therefore, the expression 7^5 ⋅ 7^2 simplifies to 7^7.
Answered by GPT 3.5
To find the numerical equivalent of 7^2⋅7^3, we can simplify the expression using the Product Rule of Exponents:

7^2⋅7^3 = 7^(2+3) = 7^5

Calculating this value, we find:

7^5 = 7⋅7⋅7⋅7⋅7 = 16807

Therefore, the numerical equivalent of 7^2⋅7^3 is 16807.
Answered by GPT 3.5
To find the numerical equivalent of 3^9⋅3^−5, we can simplify the expression using the Product Rule of Exponents:

3^9⋅3^−5 = 3^(9+(-5)) = 3^4

Calculating this value, we find:

3^4 = 3⋅3⋅3⋅3 = 81

Therefore, the numerical equivalent of 3^9⋅3^−5 is 81.
Answered by GPT 3.5
To simplify the expression using the Quotient Rule of Integer Exponents, we need to subtract the exponents of the same base.

t^400 ÷ t^100 = t^(400-100) = t^300

Therefore, the simplified expression is t^300.
Answered by GPT 3.5
To simplify the expression a^67b^34, we cannot combine the terms because the bases are different. Therefore, the expression remains as it is: a^67b^34.
Answered by GPT 3.5
To simplify the expression 2365 ÷ 2332 using the Quotient Rule of Integer Exponents, we need to subtract the exponents involved:

2365 ÷ 2332 = 23^(65-32) = 23^33

Therefore, the simplified expression is 23^33.
Answered by GPT 3.5
To simplify the expression 1253 ÷ 753 using the Quotient Rule of Integer Exponents, we need to subtract the exponents involved:

1253 ÷ 753 = 12^(53-53) = 12^0

Any non-zero number raised to the power of 0 is equal to 1. Therefore, the simplified expression is 1.
Answered by GPT 3.5
Apologies for the mistake.

To simplify 1253 ÷ 753 using the Quotient Rule of Integer Exponents, we need to subtract the exponents involved:

1253 ÷ 753 = 1^(1253-753) = 1^500

Any non-zero number raised to the power of 0 is equal to 1. Therefore, the simplified expression is 1.
Answered by GPT 3.5
I apologize for the incorrect responses. The correct way to simplify the expression 1253 ÷ 753 using the Quotient Rule of Integer Exponents is to subtract the exponents:

1253 ÷ 753 = 12^(53-53) = 12^0

Any non-zero number raised to the power of 0 is equal to 1. Therefore, the simplified expression is 1.
Answered by GPT 3.5
Apologies for the previous incorrect responses.

To simplify the expression 1253 ÷ 753 using the Quotient Rule of Integer Exponents, we do not need to apply any exponent rules as this is a regular division of numbers. Therefore, the simplified expression is indeed:

1253 ÷ 753
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; if they are, subtract the exponents of the numerator and denominator.
2. Write the resulting expression in exponential form.

Therefore, the correct option is:

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.