Use the Product Rule of Exponents to simplify the expression 2 4 ⋅2 2.(1 point)
The product rule of exponents states that when multiplying two expressions with the same base, you can add their exponents.
Using this rule, we can simplify the expression:
2^4 * 2^2 = 2^(4+2) = 2^6
Therefore, the simplified expression is 2^6.
Use the Product Rule of Exponents to simplify the expression 2^4 ⋅2^2.(1 point)
The product rule of exponents states that when multiplying two expressions with the same base, you can add their exponents.
Using this rule, we can simplify the expression:
2^4 * 2^2 = 2^(4+2) = 2^6
Therefore, the simplified expression is 2^6.
Use the Product Rule of Exponents to simplify the expression 3^8 ⋅3^3.(1 point)
Using the Product Rule of Exponents, we can simplify the expression by adding the exponents:
3^8 * 3^3 = 3^(8+3) = 3^11
Therefore, the simplified expression is 3^11.
Use the Product Rule of Exponents to simplify the expression 7^5 ⋅7^2 (1 point)
Using the Product Rule of Exponents, we can simplify the expression by adding the exponents:
7^5 * 7^2 = 7^(5+2) = 7^7
Therefore, the simplified expression is 7^7.
7^2⋅7^3
Using the Product Rule of Exponents, we can simplify the expression by adding the exponents:
7^2 * 7^3 = 7^(2+3) = 7^5
Therefore, the simplified expression is 7^5.
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Using the Product Rule of Exponents, we can simplify the expression by adding the exponents:
7^2 * 7^3 = 7^(2+3) = 7^5
Therefore, the simplified expression is 7^5.
3^9⋅ 3^−5
To simplify the expression 3^9 * 3^(-5), we can apply the product rule of exponents and add the exponents:
3^9 * 3^(-5) = 3^(9 + (-5)) = 3^4
The simplified expression is 3^4.
Find the numerical equivalent of 3^9⋅3^−5(1 point)
To find the numerical equivalent of 3^9 * 3^(-5), we can calculate each exponent separately and then multiply the results:
3^9 = 19683
3^(-5) = 1/3^5 = 1/243
Now, we can multiply the two results:
19683 * (1/243) = 81
Therefore, the numerical equivalent of 3^9 * 3^(-5) is 81.
Find the numerical equivalent of 7^2⋅7^3(1 point)
To find the numerical equivalent of 7^2 * 7^3, we can calculate each exponent separately and then multiply the results:
7^2 = 49
7^3 = 343
Now, we can multiply the two results:
49 * 343 = 16807
Therefore, the numerical equivalent of 7^2 * 7^3 is 16807.
Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
10^8⋅10^8
6^2⋅7^3
(5^2)9
32^7
The expression that is correctly developed to use the Product Rule of Exponents is:
10^8⋅10^8
Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7?(1 point)
100^15
10,000^15
100^56
200^15
The correct answer is:
100^8 * 100^7 = 100^(8+7) = 100^15.
Therefore, the correct expression that used the Product Rule of Exponents to simplify 100^8⋅100^7 is 100^15.
Find the numerical equivalent of 102 ⋅103(1 point)
Responses
100,000
1,100
10^5
10
To find the numerical equivalent of 102 * 103, we simply multiply the two numbers:
102 * 103 = 10,506
Therefore, the numerical equivalent of 102 * 103 is 10,506.
Find the numerical equivalent of 10^2 ⋅10^3(1 point)
100,000
1,100
10^5
10
To find the numerical equivalent of 10^2 * 10^3, we can apply the product rule of exponents and add the exponents:
10^2 * 10^3 = 10^(2+3) = 10^5
Therefore, the numerical equivalent of 10^2 * 10^3 is 10^5, which is equivalent to 100,000.
Find the numerical equivalent of 2^5 ⋅2^−2(1 point)
To find the numerical equivalent of 2^5 * 2^(-2), we can apply the product rule of exponents and add the exponents:
2^5 * 2^(-2) = 2^(5+(-2)) = 2^3
2^3 is equivalent to 2 * 2 * 2 = 8.
Therefore, the numerical equivalent of 2^5 * 2^(-2) is 8.
Find the numerical equivalent of 4^9⋅4^−7(1 point)
To find the numerical equivalent of 4^9 * 4^(-7), we can apply the product rule of exponents and add the exponents:
4^9 * 4^(-7) = 4^(9+(-7)) = 4^2
4^2 is equivalent to 4 * 4 = 16.
Therefore, the numerical equivalent of 4^9 * 4^(-7) is 16.