Which expression is correctly developed to use the Product Rule of Exponents? (1 point)
Responses:
108⋅108
10 superscript 8 baseline times 10 superscript 8 baseline
62⋅73
6 squared times 7 cubed
327
32 superscript 7 baseline
(52)9
5 squared times 2 to the power of 9
wrong
Apologies for that. The correct expression developed using the Product Rule of Exponents is:
(5^2) * (2^9)
nope
Apologies for the confusion. The correct expression that uses the Product Rule of Exponents is:
(10^8) * (10^8)
can you explain
Certainly! The Product Rule of Exponents states that when you multiply two numbers with the same base, you can add their exponents.
In this case, we have (10^8) * (10^8). Both numbers have a base of 10, so we can apply the Product Rule of Exponents. We add the exponents together:
10^8 * 10^8 = 10^(8+8) = 10^16
So, the correctly developed expression using the Product Rule of Exponents is 10^16.