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
1. (62)⋅(73)
2. 6 squared times 7 cubed
3. (5^2)9
4. 108 squared
yes
The correct expression that uses the Product Rule of Exponents is:
(62)⋅(73)
Question
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:
10,00015
(10^8) ⋅ (10^8)
To correctly use the Product Rule of Exponents, you need to multiply two expressions with the same base, raised to different exponents.
In the given options, the only expression that meets this requirement is 6 squared times 7 cubed, which is written as 6^2 * 7^3. Therefore, the correct expression to use the Product Rule of Exponents is 62⋅73.