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## Number System: Exponent Test-2

Congratulations - you have completed Number System: Exponent Test-2. You scored %%SCORE%% out of %%TOTAL%%. You correct answer percentage: %%PERCENTAGE%% . Your performance has been rated as %%RATING%%
 Question 1
0.96/(0.3)-3 = ?
 A 3/(15)9 B 0.000009/0.003 C 315/109 D 9.009/0.333
Question 1 Explanation:
0.96/(0.3)-3
= (0.9)6 (0.3)3
= (96/106) x (33/103)
= (3(2)6/106) x (33/103)
= (312/106) x (33/103)
= (315/109)
 Question 2
If 34 = 9x, then x = ?
 A 0.2 B 4 C 0.6 D 8
Question 2 Explanation:
34 = 9x
34 = 32x
2x = 4
x =2
 Question 3
If 9x/(32+32+32)=1/81, then what is the value of x?
 A -2 B -3 C -4 D 5
Question 3 Explanation:
9x/(3x+3x+3x)=1/81
32x/(3x+3x+3x)=1/81
32x/3x(3)=1/81
32x/3x(3)=1/81
3x/(3)=1/81 so x = -3
 Question 4
If p = 729–4/3 x 3243/2 x 81/3,  then what will be the value of p1/2?
 A 4/3 B 9/4 C 16/81 D 3/2
Question 4 Explanation:
p=729–4/3 x 3243/2 x 81/3
p=93(–4/3) x 18 2(3/2) x 2
p= 9–4 x 183 x 2
p= 16/9
p1/2=4/3
that is, option a
 Question 5
If  (64)1/2m = 22m then what will be the value of m
 A +3/4 B –1/4 C 0 D $\sqrt{\frac{3}{2}}$
Question 5 Explanation:
(64)1/2m = 22m
(82)1/2m  = 22m
(82 )1/2m= 22m
(8 )1/m= 22m
(23)1/m = 22m
3/m = 2m
2m2 = 3
m2 = 3/2
m = $\sqrt{\frac{3}{2}}$
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