Which expression is correctly developed to use the Product Rule of Exponents?
62⋅73
6 squared times 7 cubed
108⋅108
10 superscript 8 baseline times 10 superscript 8 baseline
327
32 superscript 7 baseline
(52)9
left parenthesis 5 squared right parenthesis superscript 9 baseline
11 answers
(52)9
Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7?(1 point)
Responses
200^15
200 superscript 15 baseline
100^15
100 superscript 15 baseline
100^56
100 superscript 56 baseline
10,000^15
Responses
200^15
200 superscript 15 baseline
100^15
100 superscript 15 baseline
100^56
100 superscript 56 baseline
10,000^15
100^8⋅100^7 simplifies to 100^(8+7) using the Product Rule of Exponents, which is equal to 100^15. Therefore, the correct option is 100^15.
Product Rule of Exponents Quick Check
3 of 53 of 5 Items
Question
Find the numerical equivalent of 102 ⋅103(1 point)
Responses
100,000
100,000
1,100
1,100
10
10
105
3 of 53 of 5 Items
Question
Find the numerical equivalent of 102 ⋅103(1 point)
Responses
100,000
100,000
1,100
1,100
10
10
105
102 ⋅103 simplifies to 10^(2+3) using the Product Rule of Exponents, which is equal to 10^5. Therefore, the correct response is 100,000.
Find the numerical equivalent of 25 ⋅2−2(1 point)
Responses
8
8
128
128
2
2
16
Responses
8
8
128
128
2
2
16
25 ⋅2^(-2) simplifies to 25 * (1/2^2) using the Product Rule of Exponents. 2^(-2) is equal to 1/2^2 or 1/4. Therefore, the expression simplifies to 25 * (1/4) which is equal to 25/4 or 6.25. None of the given responses (8, 128, 2, 16) matches the correct answer.
Find the numerical equivalent of 2^5 ⋅2^−2(1 point)
Responses
8
8
128
128
2
2
16
Responses
8
8
128
128
2
2
16
2^5 ⋅2^(-2) simplifies to 2^(5+(-2)) using the Product Rule of Exponents. 5+(-2) is equal to 3. Therefore, the expression simplifies to 2^3 which is equal to 8. The correct response is 8.
Question
Find the numerical equivalent of 4^9⋅4^−7(1 point)
Responses
16
16
416
4 superscript 16 baseline
4
4
42
Find the numerical equivalent of 4^9⋅4^−7(1 point)
Responses
16
16
416
4 superscript 16 baseline
4
4
42
4^9⋅4^(-7) simplifies to 4^(9+(-7)) using the Product Rule of Exponents. 9+(-7) is equal to 2. Therefore, the expression simplifies to 4^2 which is equal to 16. The correct response is 16.