Simplify \(\frac{\sqrt{8^2 \times 4^{n + 1}}}{2^{2n} \times 16}\)

If 23x = 325, find the value of x

Three quarters of a number added to two and a half of the number gives 13. Find the number

If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z = {1, 3} are subsets of u = {x:0 \(\geq\) x \(\geq\) 6}, find x \(\cap\) (Y' \(\cup\) Z)

The volume of a cube is 512cm3. Find the length of its side

Given that x > y and 3 < y, which of the following is/are true? i. y > 3 ii. x < 3 iii. x > y > 3

Simplify: \(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))

Simplify 10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)

If one student is selected at random, find the probability that he/she scored at most 2 marks