Asked by bruh

Use the Product Rule of Exponents to simplify the expression 2 to the 4th power ⋅ 2 to the 2ed power
Answered by bruh
3 to the 8th power * 3 to the 3ed power
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7 to the 5th power * 7 to the 2ed power
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7 to the 2ed power * 7 to the 3ed power
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Find the numerical equivalent of 7^2⋅7^3
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Find the numerical equivalent of 3^9 ⋅ 3^−5
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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
10 superscript 8 baseline times 10 superscript 8 baseline
Answered by bruh
Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007?(1 point)
Responses

10056
100 superscript 56 baseline

20015
200 superscript 15 baseline

10,00015
10,000 superscript 15 baseline

10015
Answered by bruh
Find the numerical equivalent of 102 ⋅103(1 point)
Responses

10
10

105
10 superscript 5 baseline

100,000
100,000

1,100
Answered by bruh
Find the numerical equivalent of 10^2 ⋅10^3 (1 point)
Responses

10
10

105
10 superscript 5 baseline

100,000
100,000

1,100
Answered by bruh
Find the numerical equivalent of 2^5 ⋅2^−2(1 point)
Responses

16
16

8
8

2
2

128
Answered by bruh
Find the numerical equivalent of 4^9⋅4^−7(1 point)
Responses

416
4 superscript 16 baseline

16
16

42
4 squared

4
4
Answer
Find the numerical equivalent of 4^9 ⋅ 4^−7 (1 point)
Responses

4 superscript 16 baseline

16

4 squared by 2

4
Answered by GPT 3.5
The Product Rule of Exponents states that for any two real numbers a and b, and any positive integer n, a to the n-th power multiplied by a to the b-th power equals a to the (n+b)-th power.

Applying the Product Rule of Exponents to the expression 2^4 * 2^2:
2^4 * 2^2 = 2^(4+2) = 2^6

Therefore, 2^4 * 2^2 simplifies to 2^6.
Answered by GPT 3.5
Using the Product Rule of Exponents, we can simplify the expression 3^8 * 3^3 as follows:

3^8 * 3^3 = 3^(8+3) = 3^11

Therefore, 3^8 * 3^3 simplifies to 3^11.
Answered by GPT 3.5
Using the Product Rule of Exponents, we can simplify the expression 7^5 * 7^2 as follows:

7^5 * 7^2 = 7^(5+2) = 7^7

Therefore, 7^5 * 7^2 simplifies to 7^7.
Answered by GPT 3.5
Using the Product Rule of Exponents, we can simplify the expression 7^2 * 7^3 as follows:

7^2 * 7^3 = 7^(2+3) = 7^5

Therefore, 7^2 * 7^3 simplifies to 7^5.
Answered by GPT 3.5
To find the numerical equivalent of 7^2 * 7^3, we can simply calculate the exponentiation and multiplication:

7^2 * 7^3 = 49 * 343 = 16,807

Therefore, the numerical equivalent of 7^2 * 7^3 is 16,807.
Answered by GPT 3.5
To find the numerical equivalent of 3^9 * 3^-5, we can calculate each exponentiation and then multiply the results:

3^9 * 3^-5 = 19683 * (1/243) = 0.08065

Therefore, the numerical equivalent of 3^9 * 3^-5 is approximately 0.08065.
Answered by GPT 3.5
The correct expression that utilizes the Product Rule of Exponents is:

(6^2) * (7^3)
Answered by GPT 3.5
The correct expression that correctly uses the Product Rule of Exponents to simplify the expression 1008 * 1007 is:

1,015,056
Answered by GPT 3.5
To find the numerical equivalent of 102 ⋅ 103, we can calculate each exponentiation and then multiply the results:

102 ⋅ 103 = 100 ⋅ 1,000 = 100,000

Therefore, the numerical equivalent of 102 ⋅ 103 is 100,000.
Answered by GPT 3.5
To find the numerical equivalent of 10^2 ⋅ 10^3, we can calculate each exponentiation and then multiply the results:

10^2 ⋅ 10^3 = 100 ⋅ 1,000 = 100,000

Therefore, the numerical equivalent of 10^2 ⋅ 10^3 is 100,000.
Answered by GPT 3.5
To find the numerical equivalent of 2^5 ⋅ 2^-2, we can calculate each exponentiation and then multiply the results:

2^5 ⋅ 2^-2 = 32 ⋅ 1/4 = 32/4 = 8

Therefore, the numerical equivalent of 2^5 ⋅ 2^-2 is 8.
Answered by GPT 3.5
To find the numerical equivalent of 4^9 * 4^-7, we can calculate each exponentiation and then multiply the results:

4^9 * 4^-7 = 262,144 * 1/16 = 262,144/16 = 16,384

Therefore, the numerical equivalent of 4^9 * 4^-7 is 16,384.
Answered by GPT 3.5
To find the numerical equivalent of 4^9 ⋅ 4^−7, we can calculate each exponentiation and then multiply the results:

4^9 ⋅ 4^-7 = 262,144 ⋅ 1/16 = 262,144/16 = 16,384

Therefore, the numerical equivalent of 4^9 ⋅ 4^−7 is 16,384.