Which expressions are equivalent to 2 Superscript 5 times 2 Superscript 4? Check all that apply.
2 Superscript 9
2 Superscript 20
2 times 2 Superscript 9
2 Superscript 10 times 2 squared
2 Superscript negative 2 Baseline times 2 Superscript 11
(2 times 2 times 2 times 2 times 2) times (2 times 2 times 2 times 2)

The answers should be A, E, and F.

Step-by-step explanation:

The rule for multiplying the same bases, but with different exponents, goes like this. Lets say you have four to the 5th power, and four to the 7th power. When you multiply them, the base will stay as four, but you will ADD the exponents! So, the answer to this would be four to the 12th power. This rule can even be applied when one, or even both of the exponents are negative! However, keep in mind that this can only be done when the base integers are the SAME.

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages