Explanation

When we divide numbers with same base we subtract the powers. 

First 2^40 / 2^19 gives 2^(40-19) = 2^21. 

Then 2^21 / 2^13 gives 2^(21-13) = 2^8.

Last verified on 04-09-2026

Explanation

Solve: (2x + 3) / (x - 1) = 3

2x + 3 = 3(x - 1)  

2x + 3 = 3x - 3  

3 + 3 = 3x - 2x  

x = 6

Last verified on 04-05-2026

Explanation

Put x = -2 and y = 3 in x³y² + x²y  

x³ = (-2)³ = -8  

x² = (-2)² = 4  

y² = 3² = 9  

So x³y² = -8 x 9 = -72  

And x²y = 4 x 3 = 12  

Now add both: -72 + 12 = -60  

Last verified on 05-09-2026

Explanation

The equation |-x| = 0 simplifies to x = 0 since the absolute value of any number is zero only when the number itself is zero.

Therefore, the solution set contains only {0}.

Last verified on 05-09-2026

Explanation

Given:

P = Q + 8 = x + 8

R = 2 x Q = 2x  

S = P - 4 = (x + 8) - 4 = x + 4

Total = 92

So: Q + P + R + S = 92

x + (x + 8) + 2x + (x + 4) = 92

5x + 12 = 92

5x = 92 - 12

5x = 80

x = 16

Check:

Q = 16

P = 16 + 8 = 24

R = 2 x 16 = 32

S = 24 - 4 = 20

Total = 16 + 24 + 32 + 20 = 92

Answer: 16 pilgrims, giving P 24, R 32 and S 20

Last verified on 11-09-2026