Advertisements
Advertisements
Question
`(11/15)^4 xx (_)^5 = (11/15)^9`
Fill in the Blanks
Advertisements
Solution
`(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`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Simplify and express the following in exponential form:
20 + 30 + 40
Simplify and express the following in exponential form:
20 × 30 × 40
Say true or false and justify your answer:
10 × 1011 = 10011
Simplify:
74 × 72
Evaluate: `(1/2)^(-5)`
34 × 37 = 311
20 × 10000
Express the following numbers using exponential form.
729
(10 + 10)10 = 1010 + 1010
Find m so that `(2/9)^3 xx (2/9)^6 = (2/9)^(2m - 1)`
