(a) If \(9^{2x - 1} = \frac{81^{x - 2}}{3^{x}}\), find x. (b) Without using Mathematical Tables, evaluate: \(\sqrt{\frac{0.81 \times 10^{-5}}{2.25 \times 10...

Simplify (3/4 + 1/3) x 41/3 + 31/4

Let U = {1, 2, 3, 4}, P = {2, 3} and Q = {2, 4}. What is (P∩Q)'?

Convert 77 to a number in base two

A bricklayer measured the length of a wall and obtained 4.10m. If the actual length of the wall is 4.25m, find his percentage error.

The nth term of a sequence is given by 3.2\(^{n-2}\). Write down the first three terms of the sequence.

Evaluate \(\log_{10} 25 + \log_{10} 32 - \log_{10} 8\)

Simplify: \((\frac{16}{81})^{\frac{1}{4}}\)

Factorize the expression 2y\(^2\) + xy - 3x\(^2\)