Jen1984

Hi, I am a little ashamed about the following question but it would be great if someone could help me: (1/2)^10 + (1/2)^10 = (1/2)^9 What is the step to pass from one to the other? Thanks

Hey guys, this is a DS problem which means that you don't have to solve anything! You just need to know that there is a way to solve it...

Yes but what if I use a = 8 b = 2 Then, (a-b) = 6 and (a/b) = 4 In this case, the answer would be B. From what the question tells us why can I not solve the problem like this?

Supersuj, Is this general rule? In what other cases can it be applied? Thanks!

sorry but... could you just explain to me ignorant how you pass from 5^21 * 2^22 to 2*10^21? Thanks!

yes but 9 and 6 are equal to m and not to m...???

mmesarina, On both problems you have to find integers for x and y. Let's look at the pencil problem: 21x * 23y = 130 If you try with integers values for x and y you will see that the only combination that works is x = 4 and y = 2 Now, let's look at the donut problem: 0.40x + 0.30y = 6 If you try different integers for x and y you will see that more than one combination works: x = 3 ; y = 16 x = 6 ; y = 12 .... Thus, the difference between the two problems (and that's what makes one solvable and the other not) is that in one case you can find a unique solution and in the other not...

For all positive integers m, m=3m when m is odd and m=(1/2)m when m is even. Which of the following is equivalent to 9 * 6 ? 81 54 36 27 18

If (5^21) * (4^11) = 2 * (10^n) what is the value of n?

If m, r, x and y are positive, is the ratio of m to r equal to the ratio of x to y? (1) The ratio of m to y is equal to the ratio of x to r. (2) The ratio of m+x to r+y is equal to the ratio of x to y.

In a rectangular coordinate system, does line k intersect quadrant II? (1) The slope of k is -1/6 (2) The y-intercept of k is -6

If x and y are positive integers, what is the value of xy? (1) The greatest common factor of x and y is 10. (2) The least common multiple of x and y is 180.

Thank you Genius!

It's correct. How do you know that it will have 100 0's? Thanks!

What is the least number of digits (including repetitions) needed to express 10^100 in decimal notation? (A) 4 (B) 100 © 101 (D) 1,000 (E) 1,001