Which expression is correctly developed to use the product rule of exponents?
A. 10^8 • 10^8
B. 32^7
C. (5^2)^9
D. 6^2 • 7^3
C. (5^2)^9
Which of the following correctly used the product rule of exponents to simplify the expression 100^8 • 100^7?
A. 100^56
B. 10,000^15
C. 100^15
D. 200^15
B. 10,000^15
Find the numerical equivalent of 10^2 • 10^3
To find the numerical equivalent of 10^2 • 10^3, we can apply the product rule of exponents, which states that when multiplying two numbers with the same base, we can add the exponents.
In this case, 10^2 • 10^3 can be simplified to 10^(2+3) = 10^5.
Therefore, the numerical equivalent of 10^2 • 10^3 is 100,000.
Find the numerical equivalent of 2^5 • 2^-2
To find the numerical equivalent of 2^5 • 2^-2, we can again apply the product rule of exponents, which states that when multiplying two numbers with the same base, we can add the exponents.
In this case, 2^5 • 2^-2 can be simplified to 2^(5+(-2)) = 2^3.
Therefore, the numerical equivalent of 2^5 • 2^-2 is 8.
Find the numerical equivalent of 4^9 • 4^-7
To find the numerical equivalent of 4^9 • 4^-7, we can apply the product rule of exponents. According to the rule, when multiplying two numbers with the same base, we can add the exponents.
In this case, 4^9 • 4^-7 can be simplified to 4^(9 + (-7)) = 4^2.
Therefore, the numerical equivalent of 4^9 • 4^-7 is 16.