CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If (xm×xnxp)q=xK then what is the value of K?


A

(m + n + q)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

(m + n - p)q

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

(m + n) (n + q)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

(pq) (mn)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

(m + n - p)q


(xm×xnxp)q=xK
(xm+nxp)q=xk [Using am×an=am+n]
(xm+np)q=xk [Using (am)n=amn]

Since bases are equal exponents should also be equal
K=(m+np)q


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