Solve 935421 * 625

= 935421 * 5 pow 4
= (935421 * 10 pow 4)/(2 pow 4)
= 9354210000/16
=584638125

12 pow 6 * 6 pow 4 / 432 = X

6 pow 3 * 2 pow 3 * 6 pow 4 /6 pow 3 * 2 =X
X = 2 pow 2 * 6 pow 4
X = 5184 

Solve 1000 pow 9 / 10 pow 24

= (10 pow 3) pow 9 / 10 pow 24
= 10 pow 27 / 10 pow 24 = 10 pow 3 = 1000

Powers get subtracted in division if base is same

X + 3699+1985-2047=31111 Find X

X+3699-62=31111
x=31111-3637
=37474

In these types of problems try to subtract first,
Once you will get lower numbers it will be easier to perform other operations on them.

Solve 4500*X=3375

x=3375/4500

There are 2 ways of solving this

First is to look at the options and try to get the nearest match for example if we have 5 in denominator then check if 3375 also divides by 900 since 4500 * 5 = 900

How ever many times we are struck with options like 3/4 where numerator is one less than denominator or vice versa in such cases subtract the 2 numbers 4500-3375 in this case and divide the result i.e 1125 by any of the numbers if it divides one of the number it will definitely divide other number and result will be next or previous number.

Here we find that 1125 divides 4500 and result is 4 so it will also divide 3375 and result will be 3

 Hence our answer is 3/4

Solve the following mixed fraction

9(3/4)+ 7(2/12)-9(1/15)

= 9+3/4+7+2/17-9-1/15

= (9+7-9) + (3/4+2/17-1/15)
= 7+(765+120-68/1020)
= 7+ (885 - 68)/1020
= 7 + 817/1020
=7(817/1020)

What is the unit digit in

{(6374) pow 1793 * (625) pow 317 * (341) pow 491}

Lets see the unit digit of all these numbers we are confident about 625 and 491 our unit digits will always be 5 and 1 respectivly

Lets have a look at 6374 now

We know and 4 pow 2 will give us unit digit as 6 after  that to any power our unit digit will be 6

Lets rewrite it as

(6347 pow 2) pow 896

Hence we can take final init digits as

6*4*5*1=120

Hence unit digit is 0.