Answer: 
Step-by-step explanation:
The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

Where b is the base and a and c are exponents.
Then simplify it by rewriting the base (
) and adding the exponents of the expression (8 and 9).
You will get the expression simplified and written as a power:

Step-by-step explanation:
he has 900-230 = 670 more push-ups to do in the remaining 20 days.
so, he has to do every day
670/20 = 67/2 = 33.5 push-ups.
fractions of push-ups don't make sense.
we cannot say, he has to do at least 33 per day, because then he might come short in the end (if he sticks to the low limit) .
so, we have to say he has to do more than 33 or at least 34 push-ups per day to be sure he will at least reach his goal.
p > 33
or
p >= 34
both should be correct in the context of using only whole numbers.
bur in case of doubt I would pick p >= 34.
So we're looking at two rectangles, one cut out of the other, so all you do is find the area of the big one, base times height equals area, minus the area of the small one, base times height equals area. So the equation you have to solve for is this,
Area=(12.6X14)-(3X8.4)
There are 13 diamonds in a deck of cards, so the chances of drawing a diamond is 1/4
8=4/7(7) + b
b=4
Y= 4/7 x + 4
[You might wanna check your answer, I might be wrong. Sorry if I’m wrong.]