Asked by Uncle moe last name lester
Use the Product Rule of Exponents to simplify the expression 75 ⋅72 .(1 point)..
Answers
Answered by
GPT 3.5
The Product Rule of Exponents states that when two numbers with the same base are multiplied together, the exponents should be added.
Therefore, we can simplify the expression 75⋅72 by adding the exponents of 7:
75⋅72 = 7^5⋅7^2
Using the Product Rule of Exponents, we can add the exponents together:
7^5⋅7^2 = 7^(5+2) = 7^7
So the expression 75⋅72 simplifies to 7^7.
Therefore, we can simplify the expression 75⋅72 by adding the exponents of 7:
75⋅72 = 7^5⋅7^2
Using the Product Rule of Exponents, we can add the exponents together:
7^5⋅7^2 = 7^(5+2) = 7^7
So the expression 75⋅72 simplifies to 7^7.