Mathematics Assignment Class VIII
Exponents & Redicals
Important extra questions on Exponents and Redicals class VIII strictly according to the DAV board and CBSE Board, necessary for board examinations.
Mathematics Assignment Class VIII
Exponents and Redicals
chapter - 3
Question 1 : (i) Evaluate: (2/7)y = 1
Ans. y = 0
(ii) Evaluate : (0.000064)5/6.Ans. 0.00032
(iii) Evaluate : 22x-1 = 8x-3. Ans. x = 8
(iv) Evaluate: (5o + 6o + 7o + 8o)1/2.
Ans. 2
(v) Evaluate: (3o + 4-1) x 22.
Ans. 5
(vi) Simplify : ^{6/5}\div(27)^{1/5})
(vii) Evaluate : ^{1/3}\right]^{1/3})
Ans. 3
(viii) Find x if (16)245 = (32)x.
Ans. x = 196
Question 2 : (i) Simplify : (-2)k+1 x (-2)3 = (-2)7.
Ans. k = 3
(ii) Find the value of x if : 2(3x – 3x-1) = 324 Ans. x = 5
(iii) Find the value of x if x3 = (100)-4 x 100 Ans. 1/100
(iv) Simplify : 
Ans. 
(v) Evaluate: ^{-1/2}\right\}^{-1/4}\right]^{2})
Evauate: ^{-1/2})
Ans. 1/10
Question 4 :
Evaluate : (6-1 – 8-1)-1 + (2-1 – 3-1)-1.
Ans. 30
Question 5 : (i) If 4x + 4x = 32, then find the value of x.
Ans. x = 2
(ii) If 4x - 4x-1 = 24, then find the value of x.
Ans. x = 5/2
(iii) Find the value of x if \div(4^{x-1}-4^{x+1}))
Ans. -17/15
Question 6 : (i) Find the value of x if 5x + 5x-1 = 750
Ans. x = 4
(ii) Find the value of x if 5x - 5x-1 = 100
Ans. x = 3
(iii) If 5x-1 + 5x+1 = 130, find the value of x3.
Ans. x = 2, x3 = 8
(iv) If 6(5x – 5x-1) = 120, then find the value of x
Ans. x = 2
(v) Find the value of x if 5x + 5x+1 = 53 ✕ 30.
Ans. x = 4
(vi) If 
, then find the the value of x. Find the value of p in 
Evaluate: ^{-2/3}}+\frac{1}{(256)^{-3/4}}+\frac{1}{(243)^{-1/5}})
Ans. 103
Find the value of x if ^{x}=\frac{625}{576})
Ans. x = 2
(i) Evaluate: ^{3}\right]^{1/4})
Ans. 7
(ii) Evaluate :
^{1/3}+(125)^{1/3}\right\}^{2}\right]^{1/3})
Ans. 7
Find the value of the square root of x if ^{11/3}\div(25)^{1/2}=5^{x})
Ans. 
Question 12 : Find the value of : ^{-2}+\left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2})
Ans. 29
Question 13 : If 
, then find x. Ans. x = 25
Question 14 :
Find the value of ^{-2/3}+\frac{1}{\left(\frac{256}{625}\right)^{1/4}}+\frac{\sqrt{25}}{\sqrt[3]{64}})
Simplify : 
Ans. 125/7
Question 16 : Simplify : 
(i) Evaluate : ^{-1/2}\times\left[(81)^{1/2}+(81)^{3/2}\right])
Ans. 328
(ii) Evaluate: ^{-1/2}\left[(64)^{1/2}+(64)^{3/2}\right])
Ans. 325
(iii) Evaluate: ^{-1/2}\times\left[(0.064)^{1/3}+(0.0625)^{1/4}\right])
Ans. 4
Question 18 : (i) Simplify : 
Ans. 42
(ii) Evaluate: ^{-2/3}\times(625)^{5/4}}{\left(\frac{1}{5}\right)^{-3}})
Ans. 1
Question 19 :
(i) If ^{-5}\times\left(\frac{1}{3}\right)^{7}=\left(\frac{1}{3}\right)^{2x-1})
then find the value of x Ans. x = 3/2
(ii) Evaluate : ^{-2}-\left(\frac{1}{2}\right)^{-3}\right\}\div\left(\frac{1}{4}\right)^{-2})
Ans. 1/16
Question 20 :Evaluate: ^{2+x}=\left(\frac{-7}{8}\right)^{3}\left[\left(\frac{-7}{8}\right)^{2/3}\div\left(\frac{-7}{8}\right)^{-1/3}\right])
Ans. x = 2
Question 21 :
(i) Evaluate : ^{3/2}\times(8)^{-4/3}\times(36)^{-1/2}}{(125)^{2/3}\times(27)^{-2/3}})
(ii) Evaluate: ^{2}\times(5^{6})^{1/3}\times(7^{-3})^{2}}{(3^{-2})^{3}\times(25)^{1/2}\times(7^{-2})^{3}})
Ans. 45
(iii) Evaluate: ^{-1/6}\times(216)^{-1/3}\times(81)^{1/4}}{(512)^{-1/3}\times(16)^{1/4}\times(9)^{-1/2}})
Ans. 9/2
(iv) Evaluate: ^{3/4}\times(216)^{-2/3}\times(125)^{1/3}}{(64)^{1/6}\times(243)^{-2/5}\times(343)^{1/3}})
Ans. 135/56
(v) Evaluate: ^{-1/4}\times(36)^{-1/2}\times(81)^{1/4}}{(216)^{-1/3}\times(512)^{-1/3}\times(16)^{1/4}})
Ans. 3
Question 22 : Find the value of x
Ans. 89 / 12
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