Suppose you draw two cards from a standard 52-card deck. Find the probability, when both cards are drawn without replacement, that the first card is a spade and the second card has a different suit.

18.75%
There are 4 suits in a standard deck and each hold 13 cards from ace to king. The probability of drawing a spade will be 25% because there is a 1/4 chance. To first draw a spade and then drawing a card that is not a spade is about 75% so if you multiply 0.25 and 0.75 together you get 0.1875 which equals 18.75%

Which expression is equal to ?

The correct answer is B.

                 

Step-by-step explanation:

Inside of the radical you have . If you find the cube root of that, you get 4a^2. Go ahead and write that outside of the parenthesis:

                     

If you re-write what is inside of the radical, you get:

               

Basically I expanded what was inside of the radical so I could find the cube roots of b^7 and c^9.

Now, take the cube root of b^7:

                       

                       

Notice how I could only factor out the two "b^3" that were inside the radical symbol, and how I left the b^1 inside the radical symbol because I couldn't factor it out.

Let's now get the cube root of c^9. Since it's a perfect cube, there won't be any "c"s left inside of the radical symbol: