Aptitude - Surds and Indices - Discussion
Discussion Forum : Surds and Indices - General Questions (Q.No. 10)
10.
(0.04)-1.5 = ?
Answer: Option
Explanation:
| (0.04)-1.5 = |  |
4 |  |
-1.5 |
| 100 |
| = | |
1 | |
-(3/2) |
| 25 |
= (25)(3/2)
= (52)(3/2)
= (5)2 x (3/2)
= 53
= 125.
Discussion:
27 comments Page 2 of 3.
Rakhi said:
7 years ago
How come -3/2 to 3/2?
x^-1 = (1/x) ^1.
x^-1 = (1/x) ^1.
Sabitha said:
7 years ago
0.2 is equal to 1/5 @Monisha.
Chirag said:
7 years ago
No @Monisha.
Because on dividing 1 by 8 i.e. 1/8 doesn't give us 0.2. So, 1/8 is not equal to 0.2.
Because on dividing 1 by 8 i.e. 1/8 doesn't give us 0.2. So, 1/8 is not equal to 0.2.
Monisha said:
7 years ago
@All
According to me, the solution is;
(0.04)^-1.5 { since 0.2*0.2=0.04}
= (0.2)^2*(-1.5),
=(0.2)^ -3,
=( 1/8) ^-3,
= 8^3 {since reciprocal changes the sign in power}
=512.
I used to solve it in a different method. But why am I not getting the answer? Please someone sorts this out.
According to me, the solution is;
(0.04)^-1.5 { since 0.2*0.2=0.04}
= (0.2)^2*(-1.5),
=(0.2)^ -3,
=( 1/8) ^-3,
= 8^3 {since reciprocal changes the sign in power}
=512.
I used to solve it in a different method. But why am I not getting the answer? Please someone sorts this out.
RAVISHANKAR said:
7 years ago
It's reciprocal @Jayananda.
Jayananda said:
7 years ago
How the minus sign disappeared from the fraction of 3/2?
Maruthu said:
9 years ago
Please tell me the shortcuts in surds and indices.
Savitri said:
9 years ago
How come 3/2 instead of 1.5?
Sujanith said:
9 years ago
Hi guys please let me know if this method is right:
(0.04)^-1.5 = (4/100)^-1.5
=> (2^2/10^2)^-(3/2)
=> (2/10)^-3 = 1/125
=> 125
(0.04)^-1.5 = (4/100)^-1.5
=> (2^2/10^2)^-(3/2)
=> (2/10)^-3 = 1/125
=> 125
Sujan said:
9 years ago
@Suguna
1.5 can be written as 15/10 on we get 3/2.
Thank you.
1.5 can be written as 15/10 on we get 3/2.
Thank you.
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