Laws of Exponents

IMPORTANT

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

MEDIUM
IMPORTANT

Which of the following is the same as $ \left({x}^{2}\times {x}^{2}\right)\times {y}^{8}$?

EASY
IMPORTANT

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

MEDIUM
IMPORTANT

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

EASY
IMPORTANT

$ a$ and $ b$ are two non-zero numbers where $ \text{a}\ne b$.

Which of these is the same as $ {a}^{m}÷{b}^{n}$ ?

EASY
IMPORTANT

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

EASY
IMPORTANT

Given $-2 y=5$

$ {y}^{2}=$  _____

(Note: A fraction, decimal or an integer is expected as the answer.)

EASY
IMPORTANT

Which of the following is an ODD number?

EASY
IMPORTANT

$ m$ and $ n$ are two natural numbers such that mn is an even number.

Which of the following is TRUE?

EASY
IMPORTANT

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

EASY
IMPORTANT

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?

EASY
IMPORTANT

$ n$ is natural number such that $ {\left(-1\right)}^{n}=-1$.

Which of these is TRUE about $ n$?

EASY
IMPORTANT

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

EASY
IMPORTANT

Evaluate:

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

EASY
IMPORTANT

Evaluate:

23×-23÷42= _____

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

 

 

EASY
IMPORTANT

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

EASY
IMPORTANT

$ x$ is a positive integer such that, 12x<124.

Which of these is TRUE?

EASY
IMPORTANT

Given, 2x>2y, where $ x$ and $ y$ integers.

Which of these is TRUE?

EASY
IMPORTANT

Which of these numbers is the LOWEST?

EASY
IMPORTANT

Which of the following is TRUE?

EASY
IMPORTANT

Given $ {4}^{x}={8}^{2}$,

Which of these is $ x?$