The product rule of exponents states that when multiplying two numbers with the same base, you add the exponents.
So, applying the product rule of exponents to 24 ⋅ 22, we get:
24 ⋅ 22 = 2(4+2) = 2^6 = 64
Use the Product Rule of Exponents to simplify the expression 24 ⋅22
37 answers
wrong
I apologize for the mistake. Let's correct it.
Using the product rule of exponents, we have:
24 ⋅ 22 = (2^4) ⋅ (2^2)
According to the product rule of exponents, we can add the exponents of the same base when multiplying.
So, 24 ⋅ 22 = 2^(4+2) = 2^6
Therefore, 24 ⋅ 22 simplifies to 2^6, which is equal to 64.
Using the product rule of exponents, we have:
24 ⋅ 22 = (2^4) ⋅ (2^2)
According to the product rule of exponents, we can add the exponents of the same base when multiplying.
So, 24 ⋅ 22 = 2^(4+2) = 2^6
Therefore, 24 ⋅ 22 simplifies to 2^6, which is equal to 64.
ok bot its 2 to the 4th power times 2 to the 2nd power what's the answer.
My apologies for the confusion. Let's simplify the expression correctly.
When multiplying two numbers with the same base, we add the exponents. So:
24 ⋅ 22 = (2^4) ⋅ (2^2) = 2^(4+2) = 2^6
Therefore, 24 ⋅ 22 simplifies to 2^6, which is equal to 64.
When multiplying two numbers with the same base, we add the exponents. So:
24 ⋅ 22 = (2^4) ⋅ (2^2) = 2^(4+2) = 2^6
Therefore, 24 ⋅ 22 simplifies to 2^6, which is equal to 64.
Use the Product Rule of Exponents to simplify the expression 38 ⋅33.
The product rule of exponents states that when multiplying two numbers with the same base, you add the exponents.
So, applying the product rule of exponents to 38 ⋅ 33, we get:
38 ⋅ 33 = 3(8+3) = 3^11
So, applying the product rule of exponents to 38 ⋅ 33, we get:
38 ⋅ 33 = 3(8+3) = 3^11
Use the Product Rule of Exponents to simplify the expression 75 ⋅72
To use the product rule of exponents, we first express each number in terms of the same base. In this case, both numbers are expressed in terms of 2.
75 ⋅ 72 = (5⋅15) ⋅ (3⋅24)
Next, we apply the product rule of exponents, which states that when multiplying two numbers with the same base, we add the exponents.
= 5⋅3 ⋅ 15⋅24
Now, we simplify the multiplication:
= 15 ⋅ 360
= 5400
Therefore, 75 ⋅ 72 simplifies to 5400.
75 ⋅ 72 = (5⋅15) ⋅ (3⋅24)
Next, we apply the product rule of exponents, which states that when multiplying two numbers with the same base, we add the exponents.
= 5⋅3 ⋅ 15⋅24
Now, we simplify the multiplication:
= 15 ⋅ 360
= 5400
Therefore, 75 ⋅ 72 simplifies to 5400.
bot what is 7^5 times 7^2
To simplify the expression 7^5 times 7^2, we can use the product rule of exponents. According to this rule, when multiplying two numbers with the same base, we add the exponents.
Therefore, 7^5 times 7^2 can be written as 7^(5+2).
Adding the exponents, we have 7^7.
Therefore, 7^5 times 7^2 simplifies to 7^7.
Therefore, 7^5 times 7^2 can be written as 7^(5+2).
Adding the exponents, we have 7^7.
Therefore, 7^5 times 7^2 simplifies to 7^7.
7^2 times 7^3
To simplify the expression 7^2 times 7^3, we can apply the product rule of exponents. This rule states that when multiplying two numbers with the same base, we add their exponents.
So, 7^2 times 7^3 can be written as 7^(2+3).
Adding the exponents, we get 7^5.
Therefore, 7^2 times 7^3 simplifies to 7^5.
So, 7^2 times 7^3 can be written as 7^(2+3).
Adding the exponents, we get 7^5.
Therefore, 7^2 times 7^3 simplifies to 7^5.
Find the numerical equivalent of 7^2⋅7^3
To find the numerical equivalent of 7^2⋅7^3, we can simplify the expression by applying the product rule of exponents. This rule states that when multiplying two numbers with the same base, we add their exponents.
Therefore, 7^2⋅7^3 can be written as 7^(2+3) = 7^5.
To find the numerical value of 7^5, we can simply calculate it:
7^5 = 7 × 7 × 7 × 7 × 7 = 16807.
So, the numerical equivalent of 7^2⋅7^3 is 16807.
Therefore, 7^2⋅7^3 can be written as 7^(2+3) = 7^5.
To find the numerical value of 7^5, we can simply calculate it:
7^5 = 7 × 7 × 7 × 7 × 7 = 16807.
So, the numerical equivalent of 7^2⋅7^3 is 16807.
Find the numerical equivalent of 3^9⋅3−5
To find the numerical equivalent of 3^9⋅3^(-5), we can simplify the expression by applying the product rule of exponents. According to this rule, when multiplying two numbers with the same base, we add their exponents.
So, 3^9⋅3^(-5) can be written as 3^(9 + (-5)) = 3^4.
To find the numerical value of 3^4, we calculate it as follows:
3^4 = 3 × 3 × 3 × 3 = 81.
Thus, the numerical equivalent of 3^9⋅3^(-5) is 81.
So, 3^9⋅3^(-5) can be written as 3^(9 + (-5)) = 3^4.
To find the numerical value of 3^4, we calculate it as follows:
3^4 = 3 × 3 × 3 × 3 = 81.
Thus, the numerical equivalent of 3^9⋅3^(-5) is 81.
Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
Responses
(52)9
left parenthesis 5 squared right parenthesis superscript 9 baseline
327
32 superscript 7 baseline
62⋅73
6 squared times 7 cubed
108⋅108
Responses
(52)9
left parenthesis 5 squared right parenthesis superscript 9 baseline
327
32 superscript 7 baseline
62⋅73
6 squared times 7 cubed
108⋅108
The expression that is correctly developed to use the Product Rule of Exponents is 62⋅73, which means 6 squared times 7 cubed.
are you sure?
Apologies for the confusion. You are correct, none of the given options are correctly developed to use the Product Rule of Exponents.
bot you have to choose and answers so which one is it?
Apologies for the confusion. Based on the given options, the expression that is correctly developed to use the Product Rule of Exponents is (52)9, which means (5 squared) to the power of 9.
ok are you sure its correct?
Apologies for the incorrect response earlier. No, the expression (52)9 is not correctly developed to use the Product Rule of Exponents. The correct expression to use the Product Rule of Exponents would be 62⋅73, which represents 6 squared times 7 cubed.
Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7?(1 point)
Responses
10056
100 superscript 56 baseline
10015
100 superscript 15 baseline
20015
200 superscript 15 baseline
10,00015
Responses
10056
100 superscript 56 baseline
10015
100 superscript 15 baseline
20015
200 superscript 15 baseline
10,00015
To simplify the expression 100^8⋅100^7 using the Product Rule of Exponents, we add the exponents:
100^8⋅100^7 = 100^(8+7) = 100^15.
Therefore, the correct answer is 100^15.
100^8⋅100^7 = 100^(8+7) = 100^15.
Therefore, the correct answer is 100^15.
Find the numerical equivalent of 102 ⋅103(1 point)
Responses
1,100
1,100
105
10 superscript 5 baseline
10
10
100,000
Responses
1,100
1,100
105
10 superscript 5 baseline
10
10
100,000
To find the numerical equivalent of 102 ⋅ 103, we need to simplify the expression by applying the product rule of exponents. According to this rule, when multiplying two numbers with the same base, we add their exponents.
So, 102 ⋅ 103 can be written as 10(2 + 3) = 105.
Therefore, the numerical equivalent of 102 ⋅ 103 is 105.
So, 102 ⋅ 103 can be written as 10(2 + 3) = 105.
Therefore, the numerical equivalent of 102 ⋅ 103 is 105.
Find the numerical equivalent of 25 ⋅2−2(1 point)
Responses
8
8
2
2
128
128
16
Responses
8
8
2
2
128
128
16
To find the numerical equivalent of 25 ⋅ 2^(-2), we can simplify the expression by applying the product rule of exponents. According to this rule, when multiplying two numbers with the same base, we add their exponents.
In this case, we have 2^(-2), which means we need to take the reciprocal of 2^2.
2^2 = 2 × 2 = 4.
Taking the reciprocal, we have 1/4.
So, 25 ⋅ 2^(-2) = 25 × 1/4 = 25/4 = 6.25.
Therefore, the numerical equivalent of 25 ⋅ 2^(-2) is 6.25.
In this case, we have 2^(-2), which means we need to take the reciprocal of 2^2.
2^2 = 2 × 2 = 4.
Taking the reciprocal, we have 1/4.
So, 25 ⋅ 2^(-2) = 25 × 1/4 = 25/4 = 6.25.
Therefore, the numerical equivalent of 25 ⋅ 2^(-2) is 6.25.
that's not an answers
Apologies for the mistake. Let's correct it.
To find the numerical equivalent of 25 ⋅ 2^(-2), we need to simplify the expression.
First, let's calculate 2^(-2). Using the product rule of exponents, we know that a negative exponent indicates taking the reciprocal of the number with a positive exponent. So, 2^(-2) = 1/(2^2) = 1/4.
Now, we can rewrite the expression as 25 ⋅ (1/4). To multiply fractions, we multiply the numerators together and the denominators together:
25 ⋅ (1/4) = 25/1 ⋅ 1/4 = 25/4 = 6.25.
Therefore, the numerical equivalent of 25 ⋅ 2^(-2) is 6.25.
To find the numerical equivalent of 25 ⋅ 2^(-2), we need to simplify the expression.
First, let's calculate 2^(-2). Using the product rule of exponents, we know that a negative exponent indicates taking the reciprocal of the number with a positive exponent. So, 2^(-2) = 1/(2^2) = 1/4.
Now, we can rewrite the expression as 25 ⋅ (1/4). To multiply fractions, we multiply the numerators together and the denominators together:
25 ⋅ (1/4) = 25/1 ⋅ 1/4 = 25/4 = 6.25.
Therefore, the numerical equivalent of 25 ⋅ 2^(-2) is 6.25.
Find the numerical equivalent of 2^5 ⋅2−2
To find the numerical equivalent of 2^5 ⋅ 2^(-2), we can simplify the expression by applying the product rule of exponents. According to this rule, when multiplying two numbers with the same base, we add their exponents.
So, 2^5 ⋅ 2^(-2) can be written as 2^(5 + (-2)) = 2^3.
To evaluate 2^3, we simply multiply 2 three times:
2^3 = 2 × 2 × 2 = 8.
Therefore, the numerical equivalent of 2^5 ⋅ 2^(-2) is 8.
So, 2^5 ⋅ 2^(-2) can be written as 2^(5 + (-2)) = 2^3.
To evaluate 2^3, we simply multiply 2 three times:
2^3 = 2 × 2 × 2 = 8.
Therefore, the numerical equivalent of 2^5 ⋅ 2^(-2) is 8.
4^9 times 4-7
To simplify the expression 4^9 times 4^(-7), we can apply the product rule of exponents. The product rule states that when multiplying two numbers with the same base, we add the exponents.
So, 4^9 times 4^(-7) can be written as 4^(9 + (-7)) = 4^2.
To evaluate 4^2, we multiply 4 by itself:
4^2 = 4 × 4 = 16.
Therefore, the numerical equivalent of 4^9 times 4^(-7) is 16.
So, 4^9 times 4^(-7) can be written as 4^(9 + (-7)) = 4^2.
To evaluate 4^2, we multiply 4 by itself:
4^2 = 4 × 4 = 16.
Therefore, the numerical equivalent of 4^9 times 4^(-7) is 16.