exponents

What is the value of $(\frac{3^{81}}{3^{74}})^{\frac{1}{3}}$ ?

What is the value of $\left(\frac{3^{81}}{27^4}\right)^{1 / 3}$ ?

The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is _________.

In a quadratic function, the value of the product of the roots (α, β) is 4. Find the value of $\frac{\alpha^n + \beta^n}{\alpha^{-n} + \beta^{-n}}$

X is a 30 digit number starting with the digit 4 followed by the digit 7. Then the number X³ will have