CHAPTER-13 EXPONENTS AND POWERS (SET-3)

Questions in this test

1. $\left[\left(3^2\right)^3-\left(3^2\right)^3\right]$ is equal to
2. The value of $\frac{\left(5\right)^{0.25}\times \left(125\right)^{0.25}}{\left(256\right)^{0.10}\times \left(256\right)^{0.15}}$ is
3. If $x^y=y^x,$ then $\left[\frac{x}{y}\right]^{\frac{x}{y}}$ equal to
4. If a and b are positive integers such that $a^b=125,$ then $(a-b)^{a+b-4}$ is equal to
5. If $pqr=1,$ then $\left[\frac{1}{1+p+q^{-1}}+\frac{1}{1+q+r^{-1}}+\frac{1}{1+r+p^{-1}}\right]$ is equal to
6. $\left[\sqrt[5]{\sqrt[5]{a^5}}\right]^{10}$ is equal to
7. $16^5+2^{15}$ is divisible by
8. The number of prime factors in the expression: $\left(6\right)^4\times \left(8\right)^6\times \left(10\right)^8\times \left(12\right)^{10}$ is
9. The value of $\frac{3^{\left(12+n\right)}\times 9^{\left(2n-7\right)}}{3^{5n}}$ is
10. The value of $\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}$ is