Maharashtra Board Solutions for Exercise 2: Practice Set 3.1

 Expressing the following number "Fifth root of $13$" in index form gives ${13}^x$. Find the value of $x$. 

Expressing the following number "Sixth root of $9$" in index form gives $9^x$. Find the value of $x$.

The index form of square root of $256$is ${256}^{\frac{1}{k}}$, find the value of $k$.

The cube root of $17$ in index form is${17}^{\frac{1}{k}}$, what is the value of $k$.

Index form of eighth root of $100$is ${100}^{\frac{1}{k}}$, find the value of $k$

Expressing the following number "Seventh root of $30$" in index form gives ${30}^x$. Find the value of $x$.

Write in the form '${\mathrm{n}}^{\mathrm{th}}$ root of $\mathrm{a}$' of the given number. 

 ${\left(100\right)}^{\frac{1}{19}}$

Write in the form '${\mathrm{n}}^{\mathrm{th}}$ root of $\mathrm{a}$' of the given number. 

${\left(6\right)}^{\frac{1}{7}}$