which expression is correctly developed to use the product rule of exponents

A) 32^7
B) 10^8 x 10^8
C) (5^2)^9
D) 6^2 x 7^3

9 answers

The correct expression that uses the product rule of exponents is:

B) 10^8 x 10^8
Which of the following correctly used the product rule of exponents to simplify the expression 100^8 x 100^7
A) 100^56
B) 10,00^15
C) 100^15
D) 200^15
The correct answer is:

B) 10,000^15
find the numerical equivalent 10^2 x 10^3
A) 1,100
B) 100,0000
C) 10^5
D) 10
To find the numerical equivalent of 10^2 x 10^3, we can use the product rule of exponents to add the exponents when we multiply like bases. Therefore, 10^2 x 10^3 is equal to 10^(2+3) = 10^5.

So, the correct answer is:

C) 10^5
find the numerical equivalent 2^5 x 2^-2
A) 2
B) 16
C) 8
D) 128
To find the numerical equivalent of 2^5 x 2^-2, we can use the product rule of exponents to add the exponents when we multiply like bases. Therefore, 2^5 x 2^-2 is equal to 2^(5+(-2)) = 2^3.

So, the correct answer is:

C) 8
find the numerical equivalent 4^9 x 4^-7
A) 4^2
B) 4
C) 16
D) 4^16
To find the numerical equivalent of 4^9 x 4^-7, we can use the product rule of exponents to add the exponents when we multiply like bases. Therefore, 4^9 x 4^-7 is equal to 4^(9+(-7)) = 4^2.

So, the correct answer is:

A) 4^2