What is the product of \( \frac{27}{5^1}(3)^{-3} \) and \( \frac{(1)^{-1}}{5} \)?

Simplify 313 1 3 - 114 1 4 x 23 2 3 + 125

If 2257 is the result of subtracting 4577 from 7056 in base n, find n

Simplify \(2\log \frac{2}{5} - \log \frac{72}{125} + \log 9\)

Find correct to 3 decimal places \(\left(\frac{1}{0.05} + \frac{1}{5.005}\right) - (0.05 x 2.05)\)

Simplify 11+?5 1 1 + 5 - 11??5

Rationalize 2√3+3√23√2−2√3

If 3 gallons of spirit containing 20% water are added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water?

Factory P produces 20,000 bags of cement per day while factory Q produces 15,000 bags per day. If P reduces production by 5% and Q increases production by 5%...