Using the Product Rule of Exponents, what is the exponent of 72⋅73 in exponential simplest form?
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.
is that correct?
What is the exponent in an equivalent form to the expression 11⋅13 if the base is 1?
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.
incorrect
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.
What is the exponent in an equivalent form to the expression 11⋅13 if the base is 1?
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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.
1 is incorrect
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.
Using the Product Rule of Exponents, what is the exponent of (1/2)2⋅(1/2)2 in exponential simplest form?
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.
Applying the Product Rule of Exponents, what is the exponent in the equivalent form of (5/6)3⋅(5/6)10 ?
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.
Apply the Product Rule of Exponents to solve and simplify 3 3⋅3 2 as an equivalent expression.
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.
um how do i right that?
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."
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
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.
so whats the answer?
The equivalent form of 82⋅86 using the Product Rule of Exponents is:
8(2+6)
or
8^(2+6)
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
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
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
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
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
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
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
Using the Product Rule of Exponents, the product of 25⋅25 is:
2^(5 + 5) = 2^10
Therefore, the correct answer is:
1,024
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.