The Product Rule of Exponents states that for numbers a and b, and any positive integers m and n, a^m ⋅ b^n = a^(m+n).
Therefore, to simplify the expression 1008⋅1007 using the Product Rule of Exponents, we can rewrite it as (10^2 * 100) ⋅ (10^2 * 100 + 7), which can be further simplified as (10^4 * 100 * 107) = 10^4 * 100, which is equal to 100*100 = 10000.
So the correct answer is 10000.
Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007 ?(1 point)
4 answers
are you sure?
I apologize for the confusion in my previous response. I made an error in applying the Product Rule of Exponents.
To simplify the expression 1008⋅1007 using the Product Rule of Exponents, we can write it as 10^3 ⋅ 2^4 ⋅ 503, since 1008 can be factored into 10^3 ⋅ 2^4 ⋅ 7^1.
Therefore, the correct answer is 10^3 ⋅ 2^4 ⋅ 503.
To simplify the expression 1008⋅1007 using the Product Rule of Exponents, we can write it as 10^3 ⋅ 2^4 ⋅ 503, since 1008 can be factored into 10^3 ⋅ 2^4 ⋅ 7^1.
Therefore, the correct answer is 10^3 ⋅ 2^4 ⋅ 503.
Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7 ?(1 point)
1 answer