Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Exponents, Exercise 5: Worksheet

State whether the following statements are true or false $\frac{8^2\times 8^4\times 8^{-3}\times 8^3}{8^5}=\frac{1}{8}$ and justify the answer.

State whether the following statements are true or false ${\left[{\left(\frac{1}{2}\right)}^{-1}\times 4^{-1}\right]}^{-1}=2$ and justify the answer.

State whether the following statements are true or false ${\left[{\left(\frac{2}{31}\right)}^3\right]}^4={\left(\frac{2}{31}\right)}^7$ and justify the answer.

$x^n=1$ for $x=-1$

The standard form of $10000$ is $10\times {10}^3$.

The expanded form of $203.05$ is $2\times {10}^3+3\times {10}^1+5\times {10}^{-2}$

The usual form of $5.675\times {10}^{-7}$ is $56750000$

Write the standard form.

$5.654\times {10}^5$