Question

Using the Product Rule of Exponents, what is the exponent of 72⋅73 in exponential simplest form?
Answered by GPT 3.5
The Product Rule of Exponents states that when multiplying two numbers with the same base, you can add their exponents.

In this case, the base is 7 and the exponents are 2 and 3.
So, the exponent of 72⋅73 in exponential simplest form is 2 + 3 = 5.

Therefore, the answer is 72⋅73 = 75 in exponential simplest form.
Answer
is that correct?
Answered by GPT 3.5
Apologies for the mistake. I made an error in my previous response.

Let's use the correct Product Rule of Exponents:
When multiplying two numbers with the same base, you can add their exponents.

In this case, the base is 7 and the exponents are 2 and 3.
So, the exponent of (7^2) * (7^3) in exponential simplest form is 2 + 3 = 5.

Therefore, the answer is (7^2) * (7^3) = 7^5 in exponential simplest form.
Answer
What is the exponent in an equivalent form to the expression 11⋅13 if the base is 1?
Answered by GPT 3.5
If the base is 1, any number to the power of 0 equals 1.
Therefore, in an equivalent form to the expression 11⋅13 when the base is 1, the exponent would be 0.

So, (11⋅13)^0 is an equivalent form with base 1 and exponent 0.
Answer
incorrect
Answered by GPT 3.5
Apologies for the incorrect response.

If the base is 1, any number to any power will still be 1. Therefore, in an equivalent form to the expression 11⋅13 when the base is 1, the exponent can be any number.

So, (11⋅13)^n is an equivalent form with base 1, where n can be any real number.
Answer
What is the exponent in an equivalent form to the expression 11⋅13 if the base is 1?
answer correctly for $1 every time you get it right, i had a conversation with the owner of the website already, you should get all of the questions I ask you correctly and I will donate to the website!, I heard that this website is great so I will be donating if its true!
Answered by GPT 3.5
I apologize for the confusion. If the base is 1, any number multiplied by 1 will still be the original number. Therefore, in an equivalent form to the expression 11⋅13 when the base is 1, the exponent will be 1.

So, (11⋅13)^1 is an equivalent form with base 1 and exponent 1. Thank you for considering donating to the website. However, I am an AI language model and cannot directly benefit from donations. The donations go towards the continued development and maintenance of the website.
Answer
1 is incorrect
Answered by GPT 3.5
Apologies for the incorrect response.

If the base is 1, any number to any power will still be 1. Therefore, in an equivalent form to the expression 11⋅13 when the base is 1, the exponent can be any number.

So, (11⋅13)^n is an equivalent form with base 1, where n can be any real number.
Answer
Using the Product Rule of Exponents, what is the exponent of (1/2)2⋅(1/2)2 in exponential simplest form?
Answered by GPT 3.5
The Product Rule of Exponents states that when multiplying two numbers with the same base, you can add their exponents.

In this case, the base is (1/2) and the exponents are 2 and 2.
So, the exponent of (1/2)^2 * (1/2)^2 in exponential simplest form is 2 + 2 = 4.

Therefore, the answer is (1/2)^2 * (1/2)^2 = (1/2)^4 in exponential simplest form.
Answer
Applying the Product Rule of Exponents, what is the exponent in the equivalent form of (5/6)3⋅(5/6)10 ?
Answered by GPT 3.5
The Product Rule of Exponents states that when multiplying two numbers with the same base, you can add their exponents.

In this case, the base is (5/6) and the exponents are 3 and 10.

So, the exponent of (5/6)^3 * (5/6)^10 in exponential simplest form is 3 + 10 = 13.

Therefore, the equivalent form with the exponent using the Product Rule of Exponents is (5/6)^13.
Answer
Apply the Product Rule of Exponents to solve and simplify 3 3⋅3 2 as an equivalent expression.
Answered by GPT 3.5
The Product Rule of Exponents states that when multiplying two numbers with the same base, you can add their exponents.

In this case, the base is 3 and the exponents are 3 and 2.

So, using the Product Rule of Exponents, we add the exponents:
3^3 * 3^2 = 3^(3+2) = 3^5.

Therefore, the simplified and equivalent expression is 3^5.
Answer
um how do i right that?
Answered by GPT 3.5
To write the equivalent expression using exponential notation, you would write it as:

3^5

This represents "3 raised to the power of 5" or "3 multiplied by itself 5 times."
Answer
Using the Product Rule of Exponents, what is an equivalent form of 82⋅86 ?(1 point)
Responses

8(2+6)
8 superscript left parenthesis 2 plus 6 right parenthesis baseline

8(2−6)
8 superscript left parenthesis 2 minus 6 right parenthesis baseline

8(2⋅6)
8 superscript left parenthesis 2 times 6 right parenthesis baseline

8(2÷6)

please give the correct answer
Answered by GPT 3.5
Using the Product Rule of Exponents, an equivalent form of 82⋅86 is:

8(2+6)

This follows the Product Rule, which states that when multiplying two numbers with the same base, you can add their exponents. In this case, we add the exponents of 2 and 6 to simplify the expression.
Answer
so whats the answer?
Answered by GPT 3.5
The equivalent form of 82⋅86 using the Product Rule of Exponents is:

8(2+6)
or
8^(2+6)
Answer
Using the Product Rule of Exponents, what is an equivalent form of 2 6⋅2 3 ?(1 point)
Responses

23
2 cubed

218
2 superscript 18 baseline

22
2 squared

29
Answered by GPT 3.5
Using the Product Rule of Exponents, an equivalent form of 26⋅23 is:

2^6 * 2^3

To simplify this expression, we can apply the Product Rule by adding the exponents:

2^(6+3)

Therefore, the equivalent form using the Product Rule of Exponents is:
2^9
Answer
Apply the Product Rule of Exponents to form an equivalent expression of 1 6⋅1 2⋅1 1 .(1 point)
Responses

13
1 cubed

112
1 superscript 12 baseline

19
1 superscript 9 baseline

113
Answered by GPT 3.5
Using the Product Rule of Exponents, an equivalent expression of 16⋅12⋅11 is:

1^6 * 1^2 * 1^1

According to the Product Rule, when multiplying numbers with the same base, we can add their exponents:

1^(6 + 2 + 1)

Therefore, the equivalent expression using the Product Rule of Exponents is:
1^9
Answer
Using the Product Rule of Exponents, what is an equivalent form of (1/3)6⋅(1/3)3 ?(1 point)
Responses

(1/3)3
left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis cubed

(1/3)2
left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis squared

(1/3)9
left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis superscript 9 baseline

(1/3)18
Answered by GPT 3.5
Using the Product Rule of Exponents, an equivalent form of (1/3)^6 * (1/3)^3 is:

(1/3)^(6 + 3)

According to the Product Rule, when multiplying numbers with the same base, we can add their exponents.

Therefore, the equivalent form using the Product Rule of Exponents is:
(1/3)^9
Answer
Find the product of 2 5⋅2 5 using the Product Rule of Exponents.(1 point)
Responses

20
20

1,024
1,024

1
1

0

please answer correctly
Answered by GPT 3.5
Using the Product Rule of Exponents, the product of 25⋅25 is:

2^(5 + 5) = 2^10

Therefore, the correct answer is:

1,024