Which expression is correctly developed to use the Product Rule of Exponents?
A. 32^7
B. 6^2 * 7^3
C. (5^2)^9
D. 10^8 * 10^8
The correct expression that uses the Product Rule of Exponents is:
B. 6^2 * 7^3
Find the numerical equivalent of 102 ⋅103
To find the numerical equivalent of 102 ⋅ 103, we can simplify this expression by adding the exponents:
102 ⋅ 103 = 10(2+3) = 105
Therefore, the numerical equivalent of 102 ⋅ 103 is 105.
Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008^8⋅1007^7?(
To simplify the expression 1008^8⋅1007^7 using the Product Rule of Exponents, we can simply multiply the numbers together and add the exponents:
1008^8 ⋅ 1007^7 = (1008 ⋅ 1007)^(8+7) = 100815^15
Therefore, the correct expression that uses the Product Rule of Exponents to simplify 1008^8⋅1007^7 is 100815^15.
Find the numerical equivalent of 25 ⋅2−2
To find the numerical equivalent of 25 ⋅ 2^(-2), we can simplify this expression using the Product Rule of Exponents:
2^(-2) is equivalent to 1/(2^2), which equals 1/4.
25 ⋅ 2^(-2) = 25 ⋅ 1/4 = 25/4 = 6.25
Therefore, the numerical equivalent of 25 ⋅ 2^(-2) is 6.25.