Which expression is correctly developed to use the Product Rule of Exponents?(1 point)

Responses

6^2 x 7^3

10^8 x 10^8

32^7

(5^2)^9

(6^2)(7^3)

Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8 x 100^7?(1 point)

Responses

100^15

200^15

10,000^15

100^56

100^15

Find the numerical equivalent of 10^2 x 10^3(1 point)

Responses

10^5

10

1,100

100,000

10^2 x 10^3 = 10^(2+3) = 10^5

The numerical equivalent of 10^2 x 10^3 is 100,000.

Find the numerical equivalent of 25 x 2^−2(1 point)

Responses

16

2

8

128

25 x 2^(-2) = 25 x (1/2)^2 = 25 x 1/4 = 6.25

The numerical equivalent of 25 x 2^(-2) is 6.25.

6.25 is not an option

Apologies for the confusion. Let's calculate again:

25 x 2^(-2) = 25 x 1/(2^2) = 25 x 1/4 = 6.25

So, the numerical equivalent of 25 x 2^(-2) is indeed 6.25.

I just said that 6.25 is not an option