Which expression is correctly developed to use the Product Rule of Exponents?
10 8 . 10 8
32 7
6 2 . 7 3
(5 2) 9
(10^8) * (10^8)
show your work
Using the Product Rule of Exponents, we can multiply the bases and add the exponents:
(10^8) * (10^8) = 10^(8+8) = 10^16
Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7
10,000^15
100^15
200^15
100^56
The correct expression that uses the Product Rule of Exponents to simplify 100^8⋅100^7 is 100^(8+7), which simplifies to 100^15. So the correct option is 100^15.
are u sure
Apologies for the confusion. Let me derive the correct solution for you.
To simplify the expression 100^8 * 100^7, we can apply the Product Rule of Exponents, which states that when multiplying two powers with the same base, we can add the exponents.
So, 100^8 * 100^7 can be simplified as 100^(8 + 7) = 100^15.
Therefore, the correct option is 100^15.
Find the numerical equivalent of 10 2 ⋅10 3
10
1,100
10 5
100,000
Find the numerical equivalent of 2 5 ⋅2 −2
16
8
128
2
To find the numerical equivalent of 2^5 * 2^-2, we can simplify the expression using the Exponent Rule of multiplying powers with the same base.
When multiplying powers with the same base, we can add the exponents. So, 2^5 * 2^-2 can be simplified as 2^(5 - 2) = 2^3.
Therefore, the numerical equivalent of 2^5 * 2^-2 is 2^3, which is equal to 8.