Exponents and powers class 8 worksheets with answers
In this page we have exponents and powers class 8 worksheets with answers .This worksheet has all format of questions covering the whole chapter. Questions format is Multiple choice questions, Match the column, Fill in the blank, short answer type. Hope you like them and do not forget to like , social share
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Short Answer type
Question 1
Evaluate
2^{-2}
(-2)^{-2}
(3/2)^{-5}
Answer
As we know that
b^{-n}= 1/b^{n}
(i) 2^{-2} = 1/ 2^{2} =1/4
(ii) (-2)^{-2} = 1/(-2)^{2}= 1/4
(iii) (3/2)^{-5 }=3-^{5}/ 2^{-5}
=2^{5}/3^{5 }= 32/243
Question 2
Simplify and express the result in power notation with positive exponent.
(i) (-2)^{5} ÷ (-2)^{4}
(ii) (1/2)^{2} × (2/5)^{2}
(iii) (-5)^{2} × (3/5)
Question 11 True and False
(i) Very small numbers can be expressed in standard form using negative exponents.
(ii) $a^p \times b^q= (ab)^{pq}$
(iii) $.00567 = 5.67 \times 10^{-3}$
(iv) $\frac {1}{(8)^{-3}}= 2^9$
(v) $4^0 =4$
(vi)$ (-1)^3=1$
(vii) The multiplicative inverse of $(–2)^{–2}$ is $(2)^2$.
Answer
(i)True
(ii) False
(iii) True
(iv) True as $\frac {1}{(8)^{-3}}=8^3=(2^3)^3= 2^9$
(v) False
(vi) False
(vii) True as $(–2)^{–2}= \frac {1}{4}$
Fill in the blanks
Question 12 Fill in the blank
(i) The multiplicative inverse of $(3)^{–2}$ is _____
(ii) $9^7 \times 3^{-2}$=_____
(iii) .0000067 in exponent form _____
(iv) Very large numbers can be expressed in standard form by using_________ exponents
(v) $5^0$ =____
(vi)$ (-1)^100$=____
(vii) The value of $[4^{–1} +3^{–1} + 6^{–2}]^{–1}$ is ____.
Question 14
If a be any non-zero integer, then $a^{–1}$ is equal to
(a) a
(b) -a
(c) 1/a
(d) -1/a Question 15
The multiplicative inverse of $(–7)^{–2} \div (90)^{–1}$ is
(a) $-(7)^2 \times (90)^{–1}$
(b) $-(7)^{-}2 \times (90)^{–1}$
(c) $-(7)^2 \div (90)^{–1}$
(d) $-(7)^2 \times (90)^{1}$ Question 16
If $5^{3x–1} \div 25 = 125$, Then the value x is
(a) 1
(b) 2
(c) 3
(d) 4
This exponents and powers class 8 worksheets with answers is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail.