Sam claims that his cat can do single-digit multiplication. he shows the cat 10 cards with simple multiplication problems that are either correct or incorrect. the cat correctly identifies the correctness of the card 7 times out of 10. if the cat were simply guessing, how many would the cat be expected to get correct?

You divide 10 by 10 to get 1 time out of ten then times by 7 so the answer is 7

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.