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Number System: Exponent Test-2
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Question 1 |
0.96/(0.3)-3 = ?
3/(15)9 | |
0.000009/0.003 | |
315/109 | |
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)
= (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 = ?
.2 | |
4 | |
.6 | |
8 |
Question 2 Explanation:
34 = 9x
34 = 32x
2x = 4
x =2
34 = 32x
2x = 4
x =2
Question 3 |
If 9x/(32+32+32)=1/81, then what is the value of x?
-2 | |
-3 | |
-4 | |
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
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?
4/3 | |
9/4 | |
16/81 | |
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
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
+3/4 | |
–1/4 | |
0 | |
$ \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}}$
(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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