Advertisements
Advertisements
Question
Solve for x: `(5^5 xx 5^(-4) xx 5^x)/(5^12)` = 5−5
Sum
Advertisements
Solution
`(5^5 xx 5^(-4) xx 5^x)/(5^12)` = 5−5
⇒ `(5^(5 - 4 + x))/(5^12)` = 5−5
⇒ `(5^(1 + x))/(5^12)` = 5−5
⇒ `5^(1 + x – 12)` = 5−5
⇒ `5^(x – 11)` = 5−5
Equating the powers of same base 5.
x – 11 = – 5
x – 11 + 11 = – 5 + 11
x = 6
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Simplify:
`((1/7)^-3)^4`
Simplify:
`[(2/5)^-3]^2`
Write the following numbers using positive indices.
`(11/3)^-5`
Write the following numbers using positive indices.
(y)−4
Solve: `(7^(- 2))^(-5)`
Using the power rule, (37)−2 = 35
Simplify using law of exponents.
(64)3
240 + 240 is equal to
(–3)4 = –12
Arrange in ascending order:
25, 33, 23 × 2, (33)2, 35, 40, 23 × 31
