Laws of Exponents
Laws of Exponents: Overview
This Topic covers sub-topics such as Laws of Exponents, Law for Taking Power of a Power, Division of Numbers in Exponential Form with Same Exponent and, Multiplication of Numbers in Exponential Form with Same Base
Important Questions on Laws of Exponents
Which of the following is the same as $ \left({x}^{2}\times {x}^{2}\right)\times {y}^{8}$?

Which of these is equal to $ {6}^{4}\times {4}^{2}$?

Which of the following is equivalent to $ {\left({5}^{3}\right)}^{2}$?

$ a$ and $ b$ are two non-zero numbers where $ \text{a}\ne b$.
Which of these is the same as $ {a}^{m}÷{b}^{n}$ ?

Which of the following is equivalent to $ {5}^{-2+3}$?

Given $-2 y=5$
$ {y}^{2}=$ _____
(Note: A fraction, decimal or an integer is expected as the answer.)


$ m$ and $ n$ are two natural numbers such that is an even number.
Which of the following is TRUE?

If $ x=5$, Which of these is equal to $ 3{x}^{2}$?

Let S = $ {\left(-1\right)}^{1}+{\left(-1\right)}^{2}+{\left(-1\right)}^{3}+{\left(-1\right)}^{4}+\dots +{\left(-1\right)}^{250}$
Which of the following is the value of S?

$ n$ is natural number such that $ {\left(-1\right)}^{n}=-1$.
Which of these is TRUE about $ n$?

Which of the following is equal to $ {\left(-1\right)}^{51}$?

Evaluate:
$ {\left(-3\right)}^{0}+{\left(-3\right)}^{1}+{\left(-3\right)}^{2}=$_____

Evaluate:
_____
(Note: A fraction or an integer form is expected)

Which of the following is the expression is the expanded form of $ -{3}^{4}$?

$ x$ is a positive integer such that, .
Which of these is TRUE?

Given, , where $ x$ and $ y$ integers.
Which of these is TRUE?



Given $ {4}^{x}={8}^{2}$,
Which of these is $ x?$
