Dr Pooranmal and Ashfaq A Khan Solutions for Chapter: Exponents, Exercise 1: EXERCISE 5.1

For which number, $x^0$ is not defined?

Which of the following two rational numbers is smaller?

$\frac{3^2}{2} \mathrm{and} {\left(\frac{3}{2}\right)}^2$

Which of the following two rational numbers is smaller?

$\frac{-5}{9^2} \mathrm{and} {\left(\frac{-5}{9}\right)}^2$

Insert eleven/twelve rational numbers between $\frac{3^2}{4} \mathrm{and} {\left(\frac{3}{4}\right)}^2$.

If $x={\left(\frac{2}{3}\right)}^2\times {\left(\frac{2}{3}\right)}^{-4}$, find the value of $x^{-2}$.

If $x={\left(\frac{4}{5}\right)}^{-2}÷{\left(\frac{1}{4}\right)}^2$, write the value of $x^{-1}$

By what number should ${\left(\frac{-3}{2}\right)}^{-3}$ be divided so that the quotient may be ${\left(\frac{4}{27}\right)}^{-2}$?

By what number should ${\left(\frac{5}{3}\right)}^{-2}$ be multiplied so that the product may be ${\left(\frac{7}{3}\right)}^{-1}$?