Test Details

Exponents and Powers

Study point tution

Jan 22, 3:00 PM

60 minutes

Jan 23, 3:00 PM

50.0 marks

MCQ

30 questions

STUDY POINT CBSE ICSE

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Class Details

All Subjects

Maths

Science

Sst

ENG

Hindi

Computer

Class 6

All Subjects

Maths

Science

Sst

ENG

Hindi

Computer

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Question Text

Question 1 :
Which expression is not equivalent to $3\times 3\times 3\times 3\times 3\times 3$?

Question 2 :
If $\sqrt { { 2 }^{ x } } =16$, then $x=$

Question 3 :
Find m so that $(-3)^{m + 1} \times (-3)^5 = (-3)^7$---

Question 6 :
The value of $x$ , when $(256)^{-(4-x)} =2^{-20} $ is :

Question 7 :
Solve: $\displaystyle \dfrac {x^{a(b - c)}}{x^{b(a - c)}} \div (\dfrac {x^b}{x^a})^c = $.

Question 9 :
The approximate value of $(10)^{1/3}$ upto four places of decimal, is

Question 10 :
If x =2, y = 3 then $\displaystyle \frac {1}{x^y}\, +\,\displaystyle \frac {1}{y^x}$ = .........

Question 12 :
Simplify: $\left( { 4 }^{ -1 }\times { 3 }^{ -1 } \right) \div { 6 }^{ -1 }$

Question 17 :
If $n$ is a positive integer, then what is the digit in the unit place of $3^{2n + 1} + 2^{2n + 1}$?

Question 18 :
State true or false.$\displaystyle \left(\frac {16}{81}\right)^{-\frac {3}{4}} \times \left(\frac {49}{9}\right)^{\frac {3}{2}} \div \left(\frac {343}{216}\right)^{\frac {2}{3}}$ is equal to $31.5$

Question 19 :
The value of $\left (\left (\left (\left (4\right )^{2}\right )^{1/2}\right )^{2}\right )^{1/2}$ is ________.

Question 21 :
If $2^{3x - 2} = 16$, then calculate the value of $x $.

Question 22 :
The solution of the equation $7^{1 + x} + 7^{1 - x} = 50$ is

Question 23 :
$ {i}^{n} + {i}^{n+1} + {i}^{n+2} + {i}^{n+3} $ is equal to :

Question 25 :
The number of real solutions of the equation (5 + 2$\sqrt6)$ $^{x^2 - 3}$ +(5 - 2$\sqrt6)$ $^{x^2 - 3}$ = 10 is

Question 26 :
If $a , b , c$ and $d$ are natural numbers such that $a ^ { 3 } = b ^ { 6 } , c ^ { 3 } = d ^ { 4 } ,$ and $d - a = 61 ,$ then thesmallest value of $c - b$ is:

Question 27 :
If $5^{k^2}(25^{2k})(625) = 25\sqrt{5}$ and $k < -1$, find the value of $k$.

Question 28 :
If $2^a = 3^b = 6^c$ then C cannot be equal to

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