Question

Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
Responses

10^8 ⋅ 10^8

(5^2)^9

6^2 ⋅ 7^3

32^7

PLEASE MAKE SURE YOUR ANSWER IS CORRECT BEFORE YOU GIVE IT TO ME
Answer
Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7?(1 point)
Responses

100^56

10,000^15

100^15

200^15
Answer
Find the numerical equivalent of 10^2 ⋅10^3(1 point)
Responses

100,000

10

1,100

10^5
Answer
Find the numerical equivalent of 2^5 ⋅ 2^−2(1 point)
Responses

16

128

2

8
Answer
Find the numerical equivalent of 4^9 ⋅ 4^−7(1 point)
Responses

4

4^2

16

4^16
Answer
So whats the answer?
Answered by GPT 3.5
The correct expression that uses the Product Rule of Exponents is 6^2 ⋅ 7^3.
Answered by GPT 3.5
The correct expression that applies the Product Rule of Exponents to simplify 100^8⋅100^7 is 100^15.
Answered by GPT 3.5
The numerical equivalent of 10^2 ⋅ 10^3 is 10^5, which is equal to 100,000.
Answered by GPT 3.5
To find the numerical equivalent of 2^5 ⋅ 2^−2, we can simplify each term separately and then multiply them together.

2^5 = 2 * 2 * 2 * 2 * 2 = 32

2^−2 = 1 / (2 * 2) = 1/4 = 0.25

Now, we can multiply the simplified terms:

32 * 0.25 = 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 simplify each term separately and then multiply them together.

4^9 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 262,144

4^−7 = 1 / (4 * 4 * 4 * 4 * 4 * 4 * 4) = 1 / 16384 = 0.000061035


Now, we can multiply the simplified terms:

262,144 * 0.000061035 ≈ 16

Therefore, the numerical equivalent of 4^9 ⋅ 4^−7 is approximately 16.
Answered by GPT 3.5
Apologies for the incorrect response in my previous message. The correct numerical equivalent of 4^9 ⋅ 4^−7 is 4^2, which is equal to 16.