Advertisements
Advertisements
प्रश्न
`(11/15)^4 xx (_)^5 = (11/15)^9`
Advertisements
उत्तर
`(11/15)^4 xx underlinebb((11/15))^5 = (11/15)^9`
Explanation:
Let `(11/15)^4 xx (x)^5 = (11/15)^9`
⇒ `(x)^5 = (11/15)^9/(11/15)^4`
⇒ `(x)^5 = (11/15)^9 (11/15)^-4`
⇒ `(x)^5 = (11/15)^(9 - 4)` ...`[∵ a^m xx a^-n = a^(m + (-n)) = a^(m - n)]`
⇒ `(x)^5 = (11/15)^5`
Since, the powers are same.
∴ `x = 11/15`
Hence, `(11/15)^4 xx (11/15)^5 = (11/15)^9`
APPEARS IN
संबंधित प्रश्न
Say true or false and justify your answer:
10 × 1011 = 10011
Say true or false and justify your answer:
23 × 32 = 65
Express the following as a product of prime factors only in exponential form:
108 × 192
Solve: `((-2)/5)^2 xx ((-2)/5)^3`
20 × 10000
LEADERS is a WhatsApp group with 256 members. Every one of its member is an admin for their own WhatsApp group with 256 distinct members. When a message is posted in LEADERS and everybody forwards the same to their own group, then how many members in total will receive that message?
x is a non-zero rational number. Product of the square of x with the cube of x is equal to the ______.
(10 + 10)10 = 1010 + 1010
xm × xn = xm + n, where x is a non-zero rational number and m, n are positive integers.
If 2n+2 – 2n+1 + 2n = c × 2n, find the value of c.
