Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
Responses
62⋅73
6 squared times 7 cubed
327
32 superscript 7 baseline
(52)9
left parenthesis 5 squared right parenthesis superscript 9 baseline
108⋅108
10 superscript 8 baseline times 10 superscript 8 baseline
The correct expression developed to use the Product Rule of Exponents is: 10 superscript 8 baseline times 10 superscript 8 baseline.
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
10,00015
10,000 superscript 15 baseline
20015
200 superscript 15 baseline
10015
The correct expression that uses the Product Rule of Exponents to simplify the expression 1008⋅1007 is: 100 superscript 15 baseline.
Find the numerical equivalent of 102 ⋅103(1 point)
Responses
100,000
100,000
105
10 superscript 5 baseline
10
10
1,100
The numerical equivalent of 102 ⋅ 103 is 100,000.
Find the numerical equivalent of 25 ⋅2−2(1 point)
Responses
2
2
8
8
128
128
16
The numerical equivalent of 25 ⋅ 2^(-2) is 8.
Find the numerical equivalent of 49⋅4−7(1 point)
Responses
4
4
416
4 superscript 16 baseline
42
4 squared
16
The numerical equivalent of 49⋅4^(-7) is 4.
The correct expression that can be developed using the Product Rule of Exponents is "6 squared times 7 cubed".
To understand the Product Rule of Exponents, we need to know that when multiplying numbers with the same base, we can add their exponents.
In this case, the base is 6 and the exponents are 2 and 3. So, applying the product rule, the expression becomes:
6^2 * 7^3
The base 6 is raised to the exponent 2, and the base 7 is raised to the exponent 3. This can be calculated as:
6^2 = 6 * 6 = 36
7^3 = 7 * 7 * 7 = 343
Therefore, the expression simplifies to:
36 * 343 = 12348
So, the correct expression that uses the Product Rule of Exponents is 6 squared times 7 cubed.