Rahul Sofat Solutions for Chapter: Exponents and Powers, Exercise 2: EXERCISE 6.1

Simplify ${\left(-3\right)}^5\times {\left(-5\right)}^3$.

Express the following in exponential notation:

$\frac{\left(-5\right)\times \left(-5\right)\times \left(-5\right)\times \left(-5\right)\times \left(-5\right)\times \left(-5\right)}{9\times 9\times 9\times 9\times 9\times 9}$

Express the following in exponential notation:

$\frac{\left(-3\right)\times \left(-3\right)\times \left(-3\right)\times \left(-3\right)\times \left(-3\right)\times \left(-3\right)\times \left(-3\right)}{5\times 5\times 5\times 5\times 5\times 5\times 5}$

Express the following in exponential notation:

$\frac{11\times 11\times 11\times 11\times 11\times 11}{22\times 22\times 22\times 22\times 22\times 22}$

Express the following rational numbers in exponential notations. Further, express them as power of prime factors.

$\frac{27}{1000}$

Express the following rational numbers in exponential notations. Further, express them as power of prime factors.

$\frac{512}{729}$

Express the following rational numbers in exponential notations. Further, express them as power of prime factors.

$\frac{-625}{1296}$

Express the following rational numbers in exponential notations. Further, express them as power of prime factors.

$\frac{-1}{125}$