wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The expression (2−1+3−1+4−1)0 is equal to ___ .


A

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
-1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 1

We know, for any non-zero interger 'a', a0=1.
The given expression is (21+31+41)0.
If we verify that the base of the given expression is not a zero, then we can immediately conclude that the value of the given expression is 1.
21+31+41=12+13+14 [am=1am, a0]=13120
Therefore, (21+31+41)0=(1312)0=1


[Note that am is positive if 'a' is positive number.
So, the base of the given expression, which is a sum of positive numbers, in no way can be 0.
Hence, the value of the given expression must be 1.
(We need not actually calculate the sum as we did earlier.)]


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Laws of Exponents
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon