CTET Exam - Paper 2 - Power And Roots

If $\text{If } \left(\frac{5}{7}\right)^4 \times \left(\frac{5}{7}\right)^{-3} = \left(\frac{5}{7}\right)^{5x-2}$, then x is-

If $\frac{x}{y}= (\frac{-1}{3})^{-3}$ $\div(\frac{2}{3})^{-4}$, then what is the value of ($\frac{x}{y}+\frac{y}{x}$)$^{-1}$?

If q is the square of a natural number p, then p is-

The value of $\sqrt{{91}+\sqrt{70+\sqrt121}}$ is-

In a park, 784 plants are arranged so that number of plants in a row is same as the number of rows. The number of…

If x is the smallest number which is to be subtracted from 2605 to make it a perfect square, then the value of (4x +7)…

If x is the least number which must be added to 955 to make it a perfect square, then value of 3x + 2 is…

If x = $\sqrt{198} \times \sqrt{550}$ and y = $\sqrt[3]{99} \times \sqrt[3]{363}$, then $\frac{1}{x} + \frac{1}{y}$ is equal to :

The product of $1.7 \times 10^4$ and $12.5\times 10^{-6}$ is expressed in the standard form as $k \times 10^n$. The value of(2k + n) is

If p = (12·34 × 10$^{10}$) – (5·67 × 10$^{9}$), then p is expressed in standard form as :