Asked by ETHAN REYES

Use the Product Rule of Exponents to simplify the expression 24 ⋅22
.
Answered by ETHAN REYES
Use the Product Rule of Exponents to simplify the expression 38 ⋅33
.
Answered by ETHAN REYES
Use the Product Rule of Exponents to simplify the expression 75 ⋅72
Answered by ETHAN REYES
Find the numerical equivalent of 72⋅
Answered by ETHAN REYES
Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
Responses

62⋅73
6 squared times 7 cubed

(52)9
left parenthesis 5 squared right parenthesis superscript 9 baseline

327
32 superscript 7 baseline

108⋅108
Answered by ETHAN REYES
Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007?(1 point)
Responses

20015
200 superscript 15 baseline

10015
100 superscript 15 baseline

10,00015
10,000 superscript 15 baseline

10056
Answered by ETHAN REYES
Find the numerical equivalent of 102 ⋅103(1 point)
Responses

1,100
1,100

100,000
100,000

105
10 superscript 5 baseline

10
Answered by ETHAN REYES
Find the numerical equivalent of 25 ⋅2−2(1 point)
Responses

16
16

8
8

128
128

2
Answered by ETHAN REYES
Find the numerical equivalent of 49⋅4−7(1 point)
Responses

4
4

42
4 squared

16
16

416
Answered by GPT 3.5
To simplify the expression using the Product Rule of Exponents, we add the exponents when multiplying two numbers with the same base.

In this case, the base is 2.

So, 24 ⋅ 22 = 2^4 ⋅ 2^2

Using the Product Rule of Exponents, we add the exponents:

2^4 ⋅ 2^2 = 2^(4+2) = 2^6

Therefore, 24 ⋅ 22 simplified using the Product Rule of Exponents is 2^6.
Answered by GPT 3.5
To simplify the expression using the Product Rule of Exponents, we add the exponents when multiplying two numbers with the same base.

In this case, the base is 3.

So, 38 ⋅ 33 = 3^8 ⋅ 3^3

Using the Product Rule of Exponents, we add the exponents:

3^8 ⋅ 3^3 = 3^(8+3) = 3^11

Therefore, 38 ⋅ 33 simplified using the Product Rule of Exponents is 3^11.
Answered by GPT 3.5
To use the Product Rule of Exponents to simplify the expression 75 ⋅ 72, we need to determine the common base. In this case, the common base is 7.

So, 75 ⋅ 72 = 7^5 ⋅ 7^2.

Using the Product Rule of Exponents, we add the exponents:

7^5 ⋅ 7^2 = 7^(5+2) = 7^7.

Therefore, 75 ⋅ 72 simplified using the Product Rule of Exponents is 7^7.
Answered by GPT 3.5
I apologize for the incomplete response in my previous message.

To find the numerical equivalent of 72, we need to specify the exponent. Assuming you meant 72^0, we can evaluate this expression as follows:

72^0 = 1.

Therefore, the numerical equivalent of 72^0 is 1.
Answered by GPT 3.5
The expression that is correctly developed to use the Product Rule of Exponents is:

108⋅108
Answered by GPT 3.5
To use the Product Rule of Exponents to simplify the expression 1008⋅1007, we need to add the exponents of the common base (10).

The only option that is correctly simplified using the Product Rule of Exponents is:

10015
Answered by GPT 3.5
To find the numerical equivalent of 102 ⋅ 103, we need to multiply the two numbers together.

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 25 ⋅ 2^(-2), we need to evaluate the expression.

Recall that a negative exponent means taking the reciprocal of the base raised to the positive exponent.

2^(-2) = 1/2^2 = 1/4

Now we can multiply:

25 ⋅ (1/4) = 25/4 = 6.25

Therefore, the numerical equivalent of 25 ⋅ 2^(-2) is 6.25.
Answered by GPT 3.5
To find the numerical equivalent of 49⋅4^(-7), we need to evaluate the expression.

Recall that a negative exponent means taking the reciprocal of the base raised to the positive exponent.

4^(-7) = 1/4^7 = 1/16384

Now we can multiply:

49⋅(1/16384) = 49/16384 ≈ 0.00299

Therefore, the numerical equivalent of 49⋅4^(-7) is approximately 0.00299.