S K Gupta and Anubhuti Gangal Solutions for Exercise 4: Chapter Assessment

The value of ${\left(8^{-1}-9^{-1}\right)}^{-1}÷{\left(4^{-1}-9^{-1}\right)}^{-1}$ is

${\left(16\right)}^{0.16}\times {\left(16\right)}^{0.04}\times {\left(2\right)}^{0.2}$ is equal to 

If ${\left(\frac{4}{11}\right)}^{x-1}={\left(\frac{11}{4}\right)}^{x-5}$, then $x$ is equal to

What is the area of a rectangle with length $3^3 \mathrm{m}$ and width $9^{-2} \mathrm{m}$?

Express the size of a plant cell is $0.00001275 \mathrm{m}$ in scientific notation (in $\mathrm{cm}$).

Simplify: $\frac{3^{-4}\times 6^{-3}\times 25}{{10}^{-2}\times 16\times 3^{-6}}$

If $x={\left[{\left(\frac{2}{3}\right)}^2\right]}^3\times {\left(\frac{1}{3}\right)}^{-2}\times 3^{-1}\times \frac{1}{6}$, find the reciprocal of $x$.

If ${\left(\frac{3}{8}\right)}^{-5}\times {\left(\frac{16}{21}\right)}^{-5}={\left(\frac{2}{7}\right)}^x$, find $x^3$.