NCERT Solutions for Chapter: Exponents and Powers, Exercise 1: Exercise

The distance of planet Neptune from the sun is $4495000000000000 \mathrm{km}$. Which of the following can be another way of representing the distance (in km) between the Neptune and the Sun?

Evaluate: ${\left[{\left(\frac{9}{5}\right)}^3÷{\left(\frac{9}{5}\right)}^5\right]}^2$

Which of the following shows the relation between $\mathrm{mm}\text{ and }\mathrm{km}\text{ ? }$

The value of $\frac{9^x{\left(9^{x-1}\right)}^x}{9^{x+1}·3^{2x-2}}{\left\{\frac{{729}^{\frac{x}{3}}}{81}\right\}}^{-x}÷\frac{3^a-2^3·3^{a-2}}{3^a-3^{a-1}}$

If $x=(-1{)}^1+(-1{)}^2+\dots +(-1{)}^{2009}$ and $y=(-1{)}^1-(-1{)}^2+(-1{)}^3-(-1{)}^4+\dots +(-1{)}^{2009}$, then find $x-y$.

$\left[{\left\{{\left(\frac{2}{3}\right)}^{-2}\times {\left(\frac{256}{625}\right)}^{\frac{1}{2}}\right\}}^{\frac{-1}{2}}÷{\left({\left(\frac{4}{3}\right)}^{-2}\right)}^3\right]\times {\left(\frac{1}{0.1}\right)}^{-1}=$

Mohan divided a sum of rupees into two parts $5^x$ and $4^x$and distributed it between his two sons, Parth and Ankur respectively. The product of $5^x$ and $4^x$ is$8000$

 The amount of money received by Parth.

Which is the greatest among the following?

${\left(\sqrt{3}\right)}^{30}, {\left(\sqrt{27}\right)}^4, {\left(\sqrt{81}\right)}^8,$ and ${\left(\sqrt[3]{9}\right)}^{12}$